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Finding the Fourth Proportional to 5,130.70, 7,695.56 and 1,432.64

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Solution

The fourth proportional to 5,130.70, 7,695.56 and 1,432.64 is: 2,148.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,130.70 : 7,695.56 = 1,432.64 : x
  2. Step 2: Convert to fraction form
    5,130.70/7,695.56 = 1,432.64/x
  3. Step 3: Cross multiply
    5,130.70x = 7,695.56 × 1,432.64
  4. Step 4: Simplify right side
    5,130.70x = 11,024,967.08
  5. Step 5: Solve for x
    x = 11,024,967.08/5,130.70
  6. Step 6: Final answer
    x = 2,148.82

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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.