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Finding the Fourth Proportional to 3,337.81, 5,006.70 and 1,146.70

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Solution

The fourth proportional to 3,337.81, 5,006.70 and 1,146.70 is: 1,720.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,337.81 : 5,006.70 = 1,146.70 : x
  2. Step 2: Convert to fraction form
    3,337.81/5,006.70 = 1,146.70/x
  3. Step 3: Cross multiply
    3,337.81x = 5,006.70 × 1,146.70
  4. Step 4: Simplify right side
    3,337.81x = 5,741,182.89
  5. Step 5: Solve for x
    x = 5,741,182.89/3,337.81
  6. Step 6: Final answer
    x = 1,720.04

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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.