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Finding the Fourth Proportional to 4,703.52, 6,487.92 and 3,770.40

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Solution

The fourth proportional to 4,703.52, 6,487.92 and 3,770.40 is: 5,200.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.52 : 6,487.92 = 3,770.40 : x
  2. Step 2: Convert to fraction form
    4,703.52/6,487.92 = 3,770.40/x
  3. Step 3: Cross multiply
    4,703.52x = 6,487.92 × 3,770.40
  4. Step 4: Simplify right side
    4,703.52x = 24,462,053.57
  5. Step 5: Solve for x
    x = 24,462,053.57/4,703.52
  6. Step 6: Final answer
    x = 5,200.80

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