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Finding the Fourth Proportional to 3,454.74, 5,207.58 and 3,254.04

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Solution

The fourth proportional to 3,454.74, 5,207.58 and 3,254.04 is: 4,905.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.74 : 5,207.58 = 3,254.04 : x
  2. Step 2: Convert to fraction form
    3,454.74/5,207.58 = 3,254.04/x
  3. Step 3: Cross multiply
    3,454.74x = 5,207.58 × 3,254.04
  4. Step 4: Simplify right side
    3,454.74x = 16,945,673.62
  5. Step 5: Solve for x
    x = 16,945,673.62/3,454.74
  6. Step 6: Final answer
    x = 4,905.05

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.