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Finding the Fourth Proportional to 5,657.48, 8,470.35 and 4,266.44

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Solution

The fourth proportional to 5,657.48, 8,470.35 and 4,266.44 is: 6,387.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.48 : 8,470.35 = 4,266.44 : x
  2. Step 2: Convert to fraction form
    5,657.48/8,470.35 = 4,266.44/x
  3. Step 3: Cross multiply
    5,657.48x = 8,470.35 × 4,266.44
  4. Step 4: Simplify right side
    5,657.48x = 36,138,240.05
  5. Step 5: Solve for x
    x = 36,138,240.05/5,657.48
  6. Step 6: Final answer
    x = 6,387.69

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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.