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Finding the Fourth Proportional to 3,915, 5,402.94 and 2,259

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Solution

The fourth proportional to 3,915, 5,402.94 and 2,259 is: 3,117.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,915 : 5,402.94 = 2,259 : x
  2. Step 2: Convert to fraction form
    3,915/5,402.94 = 2,259/x
  3. Step 3: Cross multiply
    3,915x = 5,402.94 × 2,259
  4. Step 4: Simplify right side
    3,915x = 12,205,241.46
  5. Step 5: Solve for x
    x = 12,205,241.46/3,915
  6. Step 6: Final answer
    x = 3,117.56

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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.