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Finding the Fourth Proportional to 5,854.19, 8,076.48 and 3,612.17

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Solution

The fourth proportional to 5,854.19, 8,076.48 and 3,612.17 is: 4,983.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.19 : 8,076.48 = 3,612.17 : x
  2. Step 2: Convert to fraction form
    5,854.19/8,076.48 = 3,612.17/x
  3. Step 3: Cross multiply
    5,854.19x = 8,076.48 × 3,612.17
  4. Step 4: Simplify right side
    5,854.19x = 29,173,578.38
  5. Step 5: Solve for x
    x = 29,173,578.38/5,854.19
  6. Step 6: Final answer
    x = 4,983.37

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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.