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Finding the Fourth Proportional to 3,493.71, 4,825.42 and 2,746.71

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Solution

The fourth proportional to 3,493.71, 4,825.42 and 2,746.71 is: 3,793.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.71 : 4,825.42 = 2,746.71 : x
  2. Step 2: Convert to fraction form
    3,493.71/4,825.42 = 2,746.71/x
  3. Step 3: Cross multiply
    3,493.71x = 4,825.42 × 2,746.71
  4. Step 4: Simplify right side
    3,493.71x = 13,254,029.37
  5. Step 5: Solve for x
    x = 13,254,029.37/3,493.71
  6. Step 6: Final answer
    x = 3,793.68

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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.