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Finding the Fourth Proportional to 4,115.90, 6,142.19 and 3,678.50

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Solution

The fourth proportional to 4,115.90, 6,142.19 and 3,678.50 is: 5,489.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,115.90 : 6,142.19 = 3,678.50 : x
  2. Step 2: Convert to fraction form
    4,115.90/6,142.19 = 3,678.50/x
  3. Step 3: Cross multiply
    4,115.90x = 6,142.19 × 3,678.50
  4. Step 4: Simplify right side
    4,115.90x = 22,594,045.92
  5. Step 5: Solve for x
    x = 22,594,045.92/4,115.90
  6. Step 6: Final answer
    x = 5,489.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.