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Finding the Fourth Proportional to 5,128.48, 7,690 and 2,657.18

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Solution

The fourth proportional to 5,128.48, 7,690 and 2,657.18 is: 3,984.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,128.48 : 7,690 = 2,657.18 : x
  2. Step 2: Convert to fraction form
    5,128.48/7,690 = 2,657.18/x
  3. Step 3: Cross multiply
    5,128.48x = 7,690 × 2,657.18
  4. Step 4: Simplify right side
    5,128.48x = 20,433,714.20
  5. Step 5: Solve for x
    x = 20,433,714.20/5,128.48
  6. Step 6: Final answer
    x = 3,984.36

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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.