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Finding the Fourth Proportional to 5,139.38, 7,089.50 and 3,457.82

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Solution

The fourth proportional to 5,139.38, 7,089.50 and 3,457.82 is: 4,769.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,139.38 : 7,089.50 = 3,457.82 : x
  2. Step 2: Convert to fraction form
    5,139.38/7,089.50 = 3,457.82/x
  3. Step 3: Cross multiply
    5,139.38x = 7,089.50 × 3,457.82
  4. Step 4: Simplify right side
    5,139.38x = 24,514,162.15
  5. Step 5: Solve for x
    x = 24,514,162.15/5,139.38
  6. Step 6: Final answer
    x = 4,769.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.