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Finding the Fourth Proportional to 6,077.90, 8,387.52 and 3,424.76

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Solution

The fourth proportional to 6,077.90, 8,387.52 and 3,424.76 is: 4,726.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,077.90 : 8,387.52 = 3,424.76 : x
  2. Step 2: Convert to fraction form
    6,077.90/8,387.52 = 3,424.76/x
  3. Step 3: Cross multiply
    6,077.90x = 8,387.52 × 3,424.76
  4. Step 4: Simplify right side
    6,077.90x = 28,725,243.00
  5. Step 5: Solve for x
    x = 28,725,243.00/6,077.90
  6. Step 6: Final answer
    x = 4,726.18

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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.