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Finding the Fourth Proportional to 4,672.90, 7,008.14 and 1,385.22

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Solution

The fourth proportional to 4,672.90, 7,008.14 and 1,385.22 is: 2,077.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.90 : 7,008.14 = 1,385.22 : x
  2. Step 2: Convert to fraction form
    4,672.90/7,008.14 = 1,385.22/x
  3. Step 3: Cross multiply
    4,672.90x = 7,008.14 × 1,385.22
  4. Step 4: Simplify right side
    4,672.90x = 9,707,819.15
  5. Step 5: Solve for x
    x = 9,707,819.15/4,672.90
  6. Step 6: Final answer
    x = 2,077.47

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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.