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Finding the Fourth Proportional to 5,657.78, 8,483.92 and 2,537.66

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Solution

The fourth proportional to 5,657.78, 8,483.92 and 2,537.66 is: 3,805.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.78 : 8,483.92 = 2,537.66 : x
  2. Step 2: Convert to fraction form
    5,657.78/8,483.92 = 2,537.66/x
  3. Step 3: Cross multiply
    5,657.78x = 8,483.92 × 2,537.66
  4. Step 4: Simplify right side
    5,657.78x = 21,529,304.43
  5. Step 5: Solve for x
    x = 21,529,304.43/5,657.78
  6. Step 6: Final answer
    x = 3,805.26

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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.