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Finding the Fourth Proportional to 3,734.01, 5,151.90 and 2,406.63

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Solution

The fourth proportional to 3,734.01, 5,151.90 and 2,406.63 is: 3,320.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.01 : 5,151.90 = 2,406.63 : x
  2. Step 2: Convert to fraction form
    3,734.01/5,151.90 = 2,406.63/x
  3. Step 3: Cross multiply
    3,734.01x = 5,151.90 × 2,406.63
  4. Step 4: Simplify right side
    3,734.01x = 12,398,717.10
  5. Step 5: Solve for x
    x = 12,398,717.10/3,734.01
  6. Step 6: Final answer
    x = 3,320.48

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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.