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Finding the Fourth Proportional to 5,130.30, 7,695.69 and 1,572.16

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Solution

The fourth proportional to 5,130.30, 7,695.69 and 1,572.16 is: 2,358.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,130.30 : 7,695.69 = 1,572.16 : x
  2. Step 2: Convert to fraction form
    5,130.30/7,695.69 = 1,572.16/x
  3. Step 3: Cross multiply
    5,130.30x = 7,695.69 × 1,572.16
  4. Step 4: Simplify right side
    5,130.30x = 12,098,859.71
  5. Step 5: Solve for x
    x = 12,098,859.71/5,130.30
  6. Step 6: Final answer
    x = 2,358.31

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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.