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Finding the Fourth Proportional to 5,158.16, 7,730.76 and 3,700.16

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Solution

The fourth proportional to 5,158.16, 7,730.76 and 3,700.16 is: 5,545.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,158.16 : 7,730.76 = 3,700.16 : x
  2. Step 2: Convert to fraction form
    5,158.16/7,730.76 = 3,700.16/x
  3. Step 3: Cross multiply
    5,158.16x = 7,730.76 × 3,700.16
  4. Step 4: Simplify right side
    5,158.16x = 28,605,048.92
  5. Step 5: Solve for x
    x = 28,605,048.92/5,158.16
  6. Step 6: Final answer
    x = 5,545.59

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