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Finding the Fourth Proportional to 5,635.64, 8,452.02 and 1,737.92

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Solution

The fourth proportional to 5,635.64, 8,452.02 and 1,737.92 is: 2,606.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,635.64 : 8,452.02 = 1,737.92 : x
  2. Step 2: Convert to fraction form
    5,635.64/8,452.02 = 1,737.92/x
  3. Step 3: Cross multiply
    5,635.64x = 8,452.02 × 1,737.92
  4. Step 4: Simplify right side
    5,635.64x = 14,688,934.60
  5. Step 5: Solve for x
    x = 14,688,934.60/5,635.64
  6. Step 6: Final answer
    x = 2,606.44

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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.