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Finding the Fourth Proportional to 3,869.54, 5,339.98 and 2,101.16

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Solution

The fourth proportional to 3,869.54, 5,339.98 and 2,101.16 is: 2,899.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.54 : 5,339.98 = 2,101.16 : x
  2. Step 2: Convert to fraction form
    3,869.54/5,339.98 = 2,101.16/x
  3. Step 3: Cross multiply
    3,869.54x = 5,339.98 × 2,101.16
  4. Step 4: Simplify right side
    3,869.54x = 11,220,152.38
  5. Step 5: Solve for x
    x = 11,220,152.38/3,869.54
  6. Step 6: Final answer
    x = 2,899.61

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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.