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Finding the Fourth Proportional to 5,927,930.87, 8,176,030.92 and 5,102,409.38

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Solution

The fourth proportional to 5,927,930.87, 8,176,030.92 and 5,102,409.38 is: 7,037,439.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,927,930.87 : 8,176,030.92 = 5,102,409.38 : x
  2. Step 2: Convert to fraction form
    5,927,930.87/8,176,030.92 = 5,102,409.38/x
  3. Step 3: Cross multiply
    5,927,930.87x = 8,176,030.92 × 5,102,409.38
  4. Step 4: Simplify right side
    5,927,930.87x = 41,717,456,816,497.88
  5. Step 5: Solve for x
    x = 41,717,456,816,497.88/5,927,930.87
  6. Step 6: Final answer
    x = 7,037,439.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.