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Finding the Fourth Proportional to 3,254.47, 4,881.71 and 1,524.31

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Solution

The fourth proportional to 3,254.47, 4,881.71 and 1,524.31 is: 2,286.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254.47 : 4,881.71 = 1,524.31 : x
  2. Step 2: Convert to fraction form
    3,254.47/4,881.71 = 1,524.31/x
  3. Step 3: Cross multiply
    3,254.47x = 4,881.71 × 1,524.31
  4. Step 4: Simplify right side
    3,254.47x = 7,441,239.37
  5. Step 5: Solve for x
    x = 7,441,239.37/3,254.47
  6. Step 6: Final answer
    x = 2,286.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.