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Finding the Fourth Proportional to 4,057.47, 5,597.99 and 2,264.65

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Solution

The fourth proportional to 4,057.47, 5,597.99 and 2,264.65 is: 3,124.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057.47 : 5,597.99 = 2,264.65 : x
  2. Step 2: Convert to fraction form
    4,057.47/5,597.99 = 2,264.65/x
  3. Step 3: Cross multiply
    4,057.47x = 5,597.99 × 2,264.65
  4. Step 4: Simplify right side
    4,057.47x = 12,677,476.73
  5. Step 5: Solve for x
    x = 12,677,476.73/4,057.47
  6. Step 6: Final answer
    x = 3,124.48

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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.