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Finding the Fourth Proportional to 5,883.44, 8,117.86 and 3,398

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Solution

The fourth proportional to 5,883.44, 8,117.86 and 3,398 is: 4,688.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,883.44 : 8,117.86 = 3,398 : x
  2. Step 2: Convert to fraction form
    5,883.44/8,117.86 = 3,398/x
  3. Step 3: Cross multiply
    5,883.44x = 8,117.86 × 3,398
  4. Step 4: Simplify right side
    5,883.44x = 27,584,488.28
  5. Step 5: Solve for x
    x = 27,584,488.28/5,883.44
  6. Step 6: Final answer
    x = 4,688.50

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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.