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Finding the Fourth Proportional to 5,264.85, 7,897.29 and 1,369.29

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Solution

The fourth proportional to 5,264.85, 7,897.29 and 1,369.29 is: 2,053.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264.85 : 7,897.29 = 1,369.29 : x
  2. Step 2: Convert to fraction form
    5,264.85/7,897.29 = 1,369.29/x
  3. Step 3: Cross multiply
    5,264.85x = 7,897.29 × 1,369.29
  4. Step 4: Simplify right side
    5,264.85x = 10,813,680.22
  5. Step 5: Solve for x
    x = 10,813,680.22/5,264.85
  6. Step 6: Final answer
    x = 2,053.94

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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.