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Finding the Fourth Proportional to 3,922.71, 5,884.07 and 1,001.02

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Solution

The fourth proportional to 3,922.71, 5,884.07 and 1,001.02 is: 1,501.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922.71 : 5,884.07 = 1,001.02 : x
  2. Step 2: Convert to fraction form
    3,922.71/5,884.07 = 1,001.02/x
  3. Step 3: Cross multiply
    3,922.71x = 5,884.07 × 1,001.02
  4. Step 4: Simplify right side
    3,922.71x = 5,890,063.13
  5. Step 5: Solve for x
    x = 5,890,063.13/3,922.71
  6. Step 6: Final answer
    x = 1,501.53

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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.