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Finding the Fourth Proportional to 3,557.66, 5,335.88 and 1,217.43

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Solution

The fourth proportional to 3,557.66, 5,335.88 and 1,217.43 is: 1,825.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,557.66 : 5,335.88 = 1,217.43 : x
  2. Step 2: Convert to fraction form
    3,557.66/5,335.88 = 1,217.43/x
  3. Step 3: Cross multiply
    3,557.66x = 5,335.88 × 1,217.43
  4. Step 4: Simplify right side
    3,557.66x = 6,496,054.30
  5. Step 5: Solve for x
    x = 6,496,054.30/3,557.66
  6. Step 6: Final answer
    x = 1,825.94

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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.