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Finding the Fourth Proportional to 4,978.39, 6,869.86 and 2,853.90

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Solution

The fourth proportional to 4,978.39, 6,869.86 and 2,853.90 is: 3,938.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.39 : 6,869.86 = 2,853.90 : x
  2. Step 2: Convert to fraction form
    4,978.39/6,869.86 = 2,853.90/x
  3. Step 3: Cross multiply
    4,978.39x = 6,869.86 × 2,853.90
  4. Step 4: Simplify right side
    4,978.39x = 19,605,844.84
  5. Step 5: Solve for x
    x = 19,605,844.84/4,978.39
  6. Step 6: Final answer
    x = 3,938.19

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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.