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Finding the Fourth Proportional to 3,915, 5,403.18 and 2,259

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Solution

The fourth proportional to 3,915, 5,403.18 and 2,259 is: 3,117.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,915 : 5,403.18 = 2,259 : x
  2. Step 2: Convert to fraction form
    3,915/5,403.18 = 2,259/x
  3. Step 3: Cross multiply
    3,915x = 5,403.18 × 2,259
  4. Step 4: Simplify right side
    3,915x = 12,205,783.62
  5. Step 5: Solve for x
    x = 12,205,783.62/3,915
  6. Step 6: Final answer
    x = 3,117.70

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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.