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Finding the Fourth Proportional to 4,248, 5,862.24 and 2,385

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Solution

The fourth proportional to 4,248, 5,862.24 and 2,385 is: 3,291.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,248 : 5,862.24 = 2,385 : x
  2. Step 2: Convert to fraction form
    4,248/5,862.24 = 2,385/x
  3. Step 3: Cross multiply
    4,248x = 5,862.24 × 2,385
  4. Step 4: Simplify right side
    4,248x = 13,981,442.40
  5. Step 5: Solve for x
    x = 13,981,442.40/4,248
  6. Step 6: Final answer
    x = 3,291.30

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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.