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Finding the Fourth Proportional to 3,897, 5,844.11 and 1,263.87

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Solution

The fourth proportional to 3,897, 5,844.11 and 1,263.87 is: 1,895.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897 : 5,844.11 = 1,263.87 : x
  2. Step 2: Convert to fraction form
    3,897/5,844.11 = 1,263.87/x
  3. Step 3: Cross multiply
    3,897x = 5,844.11 × 1,263.87
  4. Step 4: Simplify right side
    3,897x = 7,386,195.31
  5. Step 5: Solve for x
    x = 7,386,195.31/3,897
  6. Step 6: Final answer
    x = 1,895.35

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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.