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Finding the Fourth Proportional to 4,751.70, 6,557.90 and 3,953.61

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Solution

The fourth proportional to 4,751.70, 6,557.90 and 3,953.61 is: 5,456.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,751.70 : 6,557.90 = 3,953.61 : x
  2. Step 2: Convert to fraction form
    4,751.70/6,557.90 = 3,953.61/x
  3. Step 3: Cross multiply
    4,751.70x = 6,557.90 × 3,953.61
  4. Step 4: Simplify right side
    4,751.70x = 25,927,379.02
  5. Step 5: Solve for x
    x = 25,927,379.02/4,751.70
  6. Step 6: Final answer
    x = 5,456.44

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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.