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Finding the Fourth Proportional to 3,207.47, 4,424.22 and 2,264.63

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Solution

The fourth proportional to 3,207.47, 4,424.22 and 2,264.63 is: 3,123.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.47 : 4,424.22 = 2,264.63 : x
  2. Step 2: Convert to fraction form
    3,207.47/4,424.22 = 2,264.63/x
  3. Step 3: Cross multiply
    3,207.47x = 4,424.22 × 2,264.63
  4. Step 4: Simplify right side
    3,207.47x = 10,019,199.22
  5. Step 5: Solve for x
    x = 10,019,199.22/3,207.47
  6. Step 6: Final answer
    x = 3,123.71

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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.