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Finding the Fourth Proportional to 3,397.94, 5,101.77 and 2,523.14

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Solution

The fourth proportional to 3,397.94, 5,101.77 and 2,523.14 is: 3,788.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.94 : 5,101.77 = 2,523.14 : x
  2. Step 2: Convert to fraction form
    3,397.94/5,101.77 = 2,523.14/x
  3. Step 3: Cross multiply
    3,397.94x = 5,101.77 × 2,523.14
  4. Step 4: Simplify right side
    3,397.94x = 12,872,454.45
  5. Step 5: Solve for x
    x = 12,872,454.45/3,397.94
  6. Step 6: Final answer
    x = 3,788.32

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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.