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Finding the Fourth Proportional to 4,807.54, 7,193.06 and 2,933.94

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Solution

The fourth proportional to 4,807.54, 7,193.06 and 2,933.94 is: 4,389.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,807.54 : 7,193.06 = 2,933.94 : x
  2. Step 2: Convert to fraction form
    4,807.54/7,193.06 = 2,933.94/x
  3. Step 3: Cross multiply
    4,807.54x = 7,193.06 × 2,933.94
  4. Step 4: Simplify right side
    4,807.54x = 21,104,006.46
  5. Step 5: Solve for x
    x = 21,104,006.46/4,807.54
  6. Step 6: Final answer
    x = 4,389.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.