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Finding the Fourth Proportional to 4,700.69, 6,487.36 and 2,711.90

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Solution

The fourth proportional to 4,700.69, 6,487.36 and 2,711.90 is: 3,742.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700.69 : 6,487.36 = 2,711.90 : x
  2. Step 2: Convert to fraction form
    4,700.69/6,487.36 = 2,711.90/x
  3. Step 3: Cross multiply
    4,700.69x = 6,487.36 × 2,711.90
  4. Step 4: Simplify right side
    4,700.69x = 17,593,081.02
  5. Step 5: Solve for x
    x = 17,593,081.02/4,700.69
  6. Step 6: Final answer
    x = 3,742.66

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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.