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Finding the Fourth Proportional to 4,140.99, 5,714.59 and 2,252.59

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Solution

The fourth proportional to 4,140.99, 5,714.59 and 2,252.59 is: 3,108.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,140.99 : 5,714.59 = 2,252.59 : x
  2. Step 2: Convert to fraction form
    4,140.99/5,714.59 = 2,252.59/x
  3. Step 3: Cross multiply
    4,140.99x = 5,714.59 × 2,252.59
  4. Step 4: Simplify right side
    4,140.99x = 12,872,628.29
  5. Step 5: Solve for x
    x = 12,872,628.29/4,140.99
  6. Step 6: Final answer
    x = 3,108.59

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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.