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Finding the Fourth Proportional to 4,140.56, 5,714.08 and 2,252.26

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Solution

The fourth proportional to 4,140.56, 5,714.08 and 2,252.26 is: 3,108.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,140.56 : 5,714.08 = 2,252.26 : x
  2. Step 2: Convert to fraction form
    4,140.56/5,714.08 = 2,252.26/x
  3. Step 3: Cross multiply
    4,140.56x = 5,714.08 × 2,252.26
  4. Step 4: Simplify right side
    4,140.56x = 12,869,593.82
  5. Step 5: Solve for x
    x = 12,869,593.82/4,140.56
  6. Step 6: Final answer
    x = 3,108.18

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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.