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Finding the Fourth Proportional to 3,862.54, 5,330.18 and 2,269.16

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Solution

The fourth proportional to 3,862.54, 5,330.18 and 2,269.16 is: 3,131.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.54 : 5,330.18 = 2,269.16 : x
  2. Step 2: Convert to fraction form
    3,862.54/5,330.18 = 2,269.16/x
  3. Step 3: Cross multiply
    3,862.54x = 5,330.18 × 2,269.16
  4. Step 4: Simplify right side
    3,862.54x = 12,095,031.25
  5. Step 5: Solve for x
    x = 12,095,031.25/3,862.54
  6. Step 6: Final answer
    x = 3,131.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.