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Finding the Fourth Proportional to 5,265.90, 7,901.60 and 2,148.21

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Solution

The fourth proportional to 5,265.90, 7,901.60 and 2,148.21 is: 3,223.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,265.90 : 7,901.60 = 2,148.21 : x
  2. Step 2: Convert to fraction form
    5,265.90/7,901.60 = 2,148.21/x
  3. Step 3: Cross multiply
    5,265.90x = 7,901.60 × 2,148.21
  4. Step 4: Simplify right side
    5,265.90x = 16,974,296.14
  5. Step 5: Solve for x
    x = 16,974,296.14/5,265.90
  6. Step 6: Final answer
    x = 3,223.44

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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.