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Finding the Fourth Proportional to 4,287.84, 5,919.14 and 2,519.57

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Solution

The fourth proportional to 4,287.84, 5,919.14 and 2,519.57 is: 3,478.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,287.84 : 5,919.14 = 2,519.57 : x
  2. Step 2: Convert to fraction form
    4,287.84/5,919.14 = 2,519.57/x
  3. Step 3: Cross multiply
    4,287.84x = 5,919.14 × 2,519.57
  4. Step 4: Simplify right side
    4,287.84x = 14,913,645.38
  5. Step 5: Solve for x
    x = 14,913,645.38/4,287.84
  6. Step 6: Final answer
    x = 3,478.13

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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.