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Finding the Fourth Proportional to 4,052.40, 6,078.41 and 1,587.68

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Solution

The fourth proportional to 4,052.40, 6,078.41 and 1,587.68 is: 2,381.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,052.40 : 6,078.41 = 1,587.68 : x
  2. Step 2: Convert to fraction form
    4,052.40/6,078.41 = 1,587.68/x
  3. Step 3: Cross multiply
    4,052.40x = 6,078.41 × 1,587.68
  4. Step 4: Simplify right side
    4,052.40x = 9,650,531.66
  5. Step 5: Solve for x
    x = 9,650,531.66/4,052.40
  6. Step 6: Final answer
    x = 2,381.44

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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.