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Finding the Fourth Proportional to 3,397.40, 4,686.25 and 2,454.57

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Solution

The fourth proportional to 3,397.40, 4,686.25 and 2,454.57 is: 3,385.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.40 : 4,686.25 = 2,454.57 : x
  2. Step 2: Convert to fraction form
    3,397.40/4,686.25 = 2,454.57/x
  3. Step 3: Cross multiply
    3,397.40x = 4,686.25 × 2,454.57
  4. Step 4: Simplify right side
    3,397.40x = 11,502,722.53
  5. Step 5: Solve for x
    x = 11,502,722.53/3,397.40
  6. Step 6: Final answer
    x = 3,385.75

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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.