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Finding the Fourth Proportional to 3,898.65, 5,379.88 and 2,130.15

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Solution

The fourth proportional to 3,898.65, 5,379.88 and 2,130.15 is: 2,939.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.65 : 5,379.88 = 2,130.15 : x
  2. Step 2: Convert to fraction form
    3,898.65/5,379.88 = 2,130.15/x
  3. Step 3: Cross multiply
    3,898.65x = 5,379.88 × 2,130.15
  4. Step 4: Simplify right side
    3,898.65x = 11,459,951.38
  5. Step 5: Solve for x
    x = 11,459,951.38/3,898.65
  6. Step 6: Final answer
    x = 2,939.47

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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.