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Finding the Fourth Proportional to 4,447.68, 6,137.70 and 2,458.17

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Solution

The fourth proportional to 4,447.68, 6,137.70 and 2,458.17 is: 3,392.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,447.68 : 6,137.70 = 2,458.17 : x
  2. Step 2: Convert to fraction form
    4,447.68/6,137.70 = 2,458.17/x
  3. Step 3: Cross multiply
    4,447.68x = 6,137.70 × 2,458.17
  4. Step 4: Simplify right side
    4,447.68x = 15,087,510.01
  5. Step 5: Solve for x
    x = 15,087,510.01/4,447.68
  6. Step 6: Final answer
    x = 3,392.22

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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.