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Finding the Fourth Proportional to 8,058.24, 12,080.88 and 3,438

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Solution

The fourth proportional to 8,058.24, 12,080.88 and 3,438 is: 5,154.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,058.24 : 12,080.88 = 3,438 : x
  2. Step 2: Convert to fraction form
    8,058.24/12,080.88 = 3,438/x
  3. Step 3: Cross multiply
    8,058.24x = 12,080.88 × 3,438
  4. Step 4: Simplify right side
    8,058.24x = 41,534,065.44
  5. Step 5: Solve for x
    x = 41,534,065.44/8,058.24
  6. Step 6: Final answer
    x = 5,154.24

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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.