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Finding the Fourth Proportional to 4,116.78, 5,681.10 and 2,253.78

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Solution

The fourth proportional to 4,116.78, 5,681.10 and 2,253.78 is: 3,110.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,116.78 : 5,681.10 = 2,253.78 : x
  2. Step 2: Convert to fraction form
    4,116.78/5,681.10 = 2,253.78/x
  3. Step 3: Cross multiply
    4,116.78x = 5,681.10 × 2,253.78
  4. Step 4: Simplify right side
    4,116.78x = 12,803,949.56
  5. Step 5: Solve for x
    x = 12,803,949.56/4,116.78
  6. Step 6: Final answer
    x = 3,110.19

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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.