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Finding the Fourth Proportional to 4,972.64, 6,862.11 and 2,734.34

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Solution

The fourth proportional to 4,972.64, 6,862.11 and 2,734.34 is: 3,773.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.64 : 6,862.11 = 2,734.34 : x
  2. Step 2: Convert to fraction form
    4,972.64/6,862.11 = 2,734.34/x
  3. Step 3: Cross multiply
    4,972.64x = 6,862.11 × 2,734.34
  4. Step 4: Simplify right side
    4,972.64x = 18,763,341.86
  5. Step 5: Solve for x
    x = 18,763,341.86/4,972.64
  6. Step 6: Final answer
    x = 3,773.32

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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.