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Finding the Fourth Proportional to 4,140.66, 5,714.14 and 2,252.28

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Solution

The fourth proportional to 4,140.66, 5,714.14 and 2,252.28 is: 3,108.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,140.66 : 5,714.14 = 2,252.28 : x
  2. Step 2: Convert to fraction form
    4,140.66/5,714.14 = 2,252.28/x
  3. Step 3: Cross multiply
    4,140.66x = 5,714.14 × 2,252.28
  4. Step 4: Simplify right side
    4,140.66x = 12,869,843.24
  5. Step 5: Solve for x
    x = 12,869,843.24/4,140.66
  6. Step 6: Final answer
    x = 3,108.16

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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.