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Finding the Fourth Proportional to 5,671.52, 8,509.44 and 2,209.04

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Solution

The fourth proportional to 5,671.52, 8,509.44 and 2,209.04 is: 3,314.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.52 : 8,509.44 = 2,209.04 : x
  2. Step 2: Convert to fraction form
    5,671.52/8,509.44 = 2,209.04/x
  3. Step 3: Cross multiply
    5,671.52x = 8,509.44 × 2,209.04
  4. Step 4: Simplify right side
    5,671.52x = 18,797,693.34
  5. Step 5: Solve for x
    x = 18,797,693.34/5,671.52
  6. Step 6: Final answer
    x = 3,314.40

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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.