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Finding the Fourth Proportional to 3,438.44, 4,748.96 and 2,264.76

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Solution

The fourth proportional to 3,438.44, 4,748.96 and 2,264.76 is: 3,127.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.44 : 4,748.96 = 2,264.76 : x
  2. Step 2: Convert to fraction form
    3,438.44/4,748.96 = 2,264.76/x
  3. Step 3: Cross multiply
    3,438.44x = 4,748.96 × 2,264.76
  4. Step 4: Simplify right side
    3,438.44x = 10,755,254.65
  5. Step 5: Solve for x
    x = 10,755,254.65/3,438.44
  6. Step 6: Final answer
    x = 3,127.95

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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.