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Finding the Fourth Proportional to 3,671.60, 5,508.18 and 1,206.32

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Solution

The fourth proportional to 3,671.60, 5,508.18 and 1,206.32 is: 1,809.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.60 : 5,508.18 = 1,206.32 : x
  2. Step 2: Convert to fraction form
    3,671.60/5,508.18 = 1,206.32/x
  3. Step 3: Cross multiply
    3,671.60x = 5,508.18 × 1,206.32
  4. Step 4: Simplify right side
    3,671.60x = 6,644,600.16
  5. Step 5: Solve for x
    x = 6,644,600.16/3,671.60
  6. Step 6: Final answer
    x = 1,809.73

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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.