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Finding the Fourth Proportional to 6,585.60, 9,875.20 and 3,660.80

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Solution

The fourth proportional to 6,585.60, 9,875.20 and 3,660.80 is: 5,489.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,585.60 : 9,875.20 = 3,660.80 : x
  2. Step 2: Convert to fraction form
    6,585.60/9,875.20 = 3,660.80/x
  3. Step 3: Cross multiply
    6,585.60x = 9,875.20 × 3,660.80
  4. Step 4: Simplify right side
    6,585.60x = 36,151,132.16
  5. Step 5: Solve for x
    x = 36,151,132.16/6,585.60
  6. Step 6: Final answer
    x = 5,489.42

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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.