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Finding the Fourth Proportional to 4,367.76, 6,027.39 and 2,378.40

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Solution

The fourth proportional to 4,367.76, 6,027.39 and 2,378.40 is: 3,282.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,367.76 : 6,027.39 = 2,378.40 : x
  2. Step 2: Convert to fraction form
    4,367.76/6,027.39 = 2,378.40/x
  3. Step 3: Cross multiply
    4,367.76x = 6,027.39 × 2,378.40
  4. Step 4: Simplify right side
    4,367.76x = 14,335,544.38
  5. Step 5: Solve for x
    x = 14,335,544.38/4,367.76
  6. Step 6: Final answer
    x = 3,282.13

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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.