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Finding the Fourth Proportional to 5,127.60, 7,680.60 and 4,263.60

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Solution

The fourth proportional to 5,127.60, 7,680.60 and 4,263.60 is: 6,386.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,127.60 : 7,680.60 = 4,263.60 : x
  2. Step 2: Convert to fraction form
    5,127.60/7,680.60 = 4,263.60/x
  3. Step 3: Cross multiply
    5,127.60x = 7,680.60 × 4,263.60
  4. Step 4: Simplify right side
    5,127.60x = 32,747,006.16
  5. Step 5: Solve for x
    x = 32,747,006.16/5,127.60
  6. Step 6: Final answer
    x = 6,386.42

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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.