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Finding the Fourth Proportional to 3,922.78, 5,884.50 and 1,001.08

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Solution

The fourth proportional to 3,922.78, 5,884.50 and 1,001.08 is: 1,501.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922.78 : 5,884.50 = 1,001.08 : x
  2. Step 2: Convert to fraction form
    3,922.78/5,884.50 = 1,001.08/x
  3. Step 3: Cross multiply
    3,922.78x = 5,884.50 × 1,001.08
  4. Step 4: Simplify right side
    3,922.78x = 5,890,855.26
  5. Step 5: Solve for x
    x = 5,890,855.26/3,922.78
  6. Step 6: Final answer
    x = 1,501.70

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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.