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Finding the Fourth Proportional to 6,221.40, 8,585.84 and 4,124.04

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Solution

The fourth proportional to 6,221.40, 8,585.84 and 4,124.04 is: 5,691.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,221.40 : 8,585.84 = 4,124.04 : x
  2. Step 2: Convert to fraction form
    6,221.40/8,585.84 = 4,124.04/x
  3. Step 3: Cross multiply
    6,221.40x = 8,585.84 × 4,124.04
  4. Step 4: Simplify right side
    6,221.40x = 35,408,347.59
  5. Step 5: Solve for x
    x = 35,408,347.59/6,221.40
  6. Step 6: Final answer
    x = 5,691.38

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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.