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Finding the Fourth Proportional to 4,140.54, 5,714.05 and 2,252.23

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Solution

The fourth proportional to 4,140.54, 5,714.05 and 2,252.23 is: 3,108.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,140.54 : 5,714.05 = 2,252.23 : x
  2. Step 2: Convert to fraction form
    4,140.54/5,714.05 = 2,252.23/x
  3. Step 3: Cross multiply
    4,140.54x = 5,714.05 × 2,252.23
  4. Step 4: Simplify right side
    4,140.54x = 12,869,360.46
  5. Step 5: Solve for x
    x = 12,869,360.46/4,140.54
  6. Step 6: Final answer
    x = 3,108.14

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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.