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Finding the Fourth Proportional to 4,978.20, 6,869.54 and 2,853.71

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Solution

The fourth proportional to 4,978.20, 6,869.54 and 2,853.71 is: 3,937.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.20 : 6,869.54 = 2,853.71 : x
  2. Step 2: Convert to fraction form
    4,978.20/6,869.54 = 2,853.71/x
  3. Step 3: Cross multiply
    4,978.20x = 6,869.54 × 2,853.71
  4. Step 4: Simplify right side
    4,978.20x = 19,603,674.99
  5. Step 5: Solve for x
    x = 19,603,674.99/4,978.20
  6. Step 6: Final answer
    x = 3,937.90

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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.