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Finding the Fourth Proportional to 3,337.88, 5,006.64 and 1,029.40

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Solution

The fourth proportional to 3,337.88, 5,006.64 and 1,029.40 is: 1,544.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,337.88 : 5,006.64 = 1,029.40 : x
  2. Step 2: Convert to fraction form
    3,337.88/5,006.64 = 1,029.40/x
  3. Step 3: Cross multiply
    3,337.88x = 5,006.64 × 1,029.40
  4. Step 4: Simplify right side
    3,337.88x = 5,153,835.22
  5. Step 5: Solve for x
    x = 5,153,835.22/3,337.88
  6. Step 6: Final answer
    x = 1,544.04

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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.