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Finding the Fourth Proportional to 5,729.59, 8,587.20 and 3,096.99

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Solution

The fourth proportional to 5,729.59, 8,587.20 and 3,096.99 is: 4,641.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.59 : 8,587.20 = 3,096.99 : x
  2. Step 2: Convert to fraction form
    5,729.59/8,587.20 = 3,096.99/x
  3. Step 3: Cross multiply
    5,729.59x = 8,587.20 × 3,096.99
  4. Step 4: Simplify right side
    5,729.59x = 26,594,472.53
  5. Step 5: Solve for x
    x = 26,594,472.53/5,729.59
  6. Step 6: Final answer
    x = 4,641.60

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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.