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Finding the Fourth Proportional to 5,129.52, 7,693.48 and 1,431.36

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Solution

The fourth proportional to 5,129.52, 7,693.48 and 1,431.36 is: 2,146.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,129.52 : 7,693.48 = 1,431.36 : x
  2. Step 2: Convert to fraction form
    5,129.52/7,693.48 = 1,431.36/x
  3. Step 3: Cross multiply
    5,129.52x = 7,693.48 × 1,431.36
  4. Step 4: Simplify right side
    5,129.52x = 11,012,139.53
  5. Step 5: Solve for x
    x = 11,012,139.53/5,129.52
  6. Step 6: Final answer
    x = 2,146.82

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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.