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Finding the Fourth Proportional to 3,447, 4,758.10 and 2,049.72

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Solution

The fourth proportional to 3,447, 4,758.10 and 2,049.72 is: 2,829.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447 : 4,758.10 = 2,049.72 : x
  2. Step 2: Convert to fraction form
    3,447/4,758.10 = 2,049.72/x
  3. Step 3: Cross multiply
    3,447x = 4,758.10 × 2,049.72
  4. Step 4: Simplify right side
    3,447x = 9,752,772.73
  5. Step 5: Solve for x
    x = 9,752,772.73/3,447
  6. Step 6: Final answer
    x = 2,829.35

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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.