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Finding the Fourth Proportional to 5,130.52, 7,694.98 and 1,432.36

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Solution

The fourth proportional to 5,130.52, 7,694.98 and 1,432.36 is: 2,148.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,130.52 : 7,694.98 = 1,432.36 : x
  2. Step 2: Convert to fraction form
    5,130.52/7,694.98 = 1,432.36/x
  3. Step 3: Cross multiply
    5,130.52x = 7,694.98 × 1,432.36
  4. Step 4: Simplify right side
    5,130.52x = 11,021,981.55
  5. Step 5: Solve for x
    x = 11,021,981.55/5,130.52
  6. Step 6: Final answer
    x = 2,148.32

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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.