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Finding the Fourth Proportional to 4,153.14, 5,731.31 and 2,264.68

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Solution

The fourth proportional to 4,153.14, 5,731.31 and 2,264.68 is: 3,125.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,153.14 : 5,731.31 = 2,264.68 : x
  2. Step 2: Convert to fraction form
    4,153.14/5,731.31 = 2,264.68/x
  3. Step 3: Cross multiply
    4,153.14x = 5,731.31 × 2,264.68
  4. Step 4: Simplify right side
    4,153.14x = 12,979,599.34
  5. Step 5: Solve for x
    x = 12,979,599.34/4,153.14
  6. Step 6: Final answer
    x = 3,125.25

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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.