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Finding the Fourth Proportional to 4,672.60, 7,003.68 and 3,581.44

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Solution

The fourth proportional to 4,672.60, 7,003.68 and 3,581.44 is: 5,368.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.60 : 7,003.68 = 3,581.44 : x
  2. Step 2: Convert to fraction form
    4,672.60/7,003.68 = 3,581.44/x
  3. Step 3: Cross multiply
    4,672.60x = 7,003.68 × 3,581.44
  4. Step 4: Simplify right side
    4,672.60x = 25,083,259.70
  5. Step 5: Solve for x
    x = 25,083,259.70/4,672.60
  6. Step 6: Final answer
    x = 5,368.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.