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Finding the Fourth Proportional to 3,607.60, 4,979.46 and 2,281.72

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Solution

The fourth proportional to 3,607.60, 4,979.46 and 2,281.72 is: 3,149.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607.60 : 4,979.46 = 2,281.72 : x
  2. Step 2: Convert to fraction form
    3,607.60/4,979.46 = 2,281.72/x
  3. Step 3: Cross multiply
    3,607.60x = 4,979.46 × 2,281.72
  4. Step 4: Simplify right side
    3,607.60x = 11,361,733.47
  5. Step 5: Solve for x
    x = 11,361,733.47/3,607.60
  6. Step 6: Final answer
    x = 3,149.39

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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.