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Finding the Fourth Proportional to 3,557.58, 5,337 and 1,217.85

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Solution

The fourth proportional to 3,557.58, 5,337 and 1,217.85 is: 1,826.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,557.58 : 5,337 = 1,217.85 : x
  2. Step 2: Convert to fraction form
    3,557.58/5,337 = 1,217.85/x
  3. Step 3: Cross multiply
    3,557.58x = 5,337 × 1,217.85
  4. Step 4: Simplify right side
    3,557.58x = 6,499,665.45
  5. Step 5: Solve for x
    x = 6,499,665.45/3,557.58
  6. Step 6: Final answer
    x = 1,826.99

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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.