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Finding the Fourth Proportional to 3,715.84, 5,572.68 and 1,118.20

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Solution

The fourth proportional to 3,715.84, 5,572.68 and 1,118.20 is: 1,676.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,715.84 : 5,572.68 = 1,118.20 : x
  2. Step 2: Convert to fraction form
    3,715.84/5,572.68 = 1,118.20/x
  3. Step 3: Cross multiply
    3,715.84x = 5,572.68 × 1,118.20
  4. Step 4: Simplify right side
    3,715.84x = 6,231,370.78
  5. Step 5: Solve for x
    x = 6,231,370.78/3,715.84
  6. Step 6: Final answer
    x = 1,676.97

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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.