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Finding the Fourth Proportional to 4,147.04, 5,730.80 and 3,447.20

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Solution

The fourth proportional to 4,147.04, 5,730.80 and 3,447.20 is: 4,763.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147.04 : 5,730.80 = 3,447.20 : x
  2. Step 2: Convert to fraction form
    4,147.04/5,730.80 = 3,447.20/x
  3. Step 3: Cross multiply
    4,147.04x = 5,730.80 × 3,447.20
  4. Step 4: Simplify right side
    4,147.04x = 19,755,213.76
  5. Step 5: Solve for x
    x = 19,755,213.76/4,147.04
  6. Step 6: Final answer
    x = 4,763.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.