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Finding the Fourth Proportional to 6,077.90, 8,387.50 and 3,283.40

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Solution

The fourth proportional to 6,077.90, 8,387.50 and 3,283.40 is: 4,531.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,077.90 : 8,387.50 = 3,283.40 : x
  2. Step 2: Convert to fraction form
    6,077.90/8,387.50 = 3,283.40/x
  3. Step 3: Cross multiply
    6,077.90x = 8,387.50 × 3,283.40
  4. Step 4: Simplify right side
    6,077.90x = 27,539,517.50
  5. Step 5: Solve for x
    x = 27,539,517.50/6,077.90
  6. Step 6: Final answer
    x = 4,531.09

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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.