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Finding the Fourth Proportional to 4,089.72, 6,139.80 and 3,404.76

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Solution

The fourth proportional to 4,089.72, 6,139.80 and 3,404.76 is: 5,111.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,089.72 : 6,139.80 = 3,404.76 : x
  2. Step 2: Convert to fraction form
    4,089.72/6,139.80 = 3,404.76/x
  3. Step 3: Cross multiply
    4,089.72x = 6,139.80 × 3,404.76
  4. Step 4: Simplify right side
    4,089.72x = 20,904,545.45
  5. Step 5: Solve for x
    x = 20,904,545.45/4,089.72
  6. Step 6: Final answer
    x = 5,111.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.