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Finding the Fourth Proportional to 3,172.32, 4,748.13 and 2,869.20

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Solution

The fourth proportional to 3,172.32, 4,748.13 and 2,869.20 is: 4,294.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.32 : 4,748.13 = 2,869.20 : x
  2. Step 2: Convert to fraction form
    3,172.32/4,748.13 = 2,869.20/x
  3. Step 3: Cross multiply
    3,172.32x = 4,748.13 × 2,869.20
  4. Step 4: Simplify right side
    3,172.32x = 13,623,334.60
  5. Step 5: Solve for x
    x = 13,623,334.60/3,172.32
  6. Step 6: Final answer
    x = 4,294.44

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