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Finding the Fourth Proportional to 3,921.66, 5,878.71 and 1,323.18

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Solution

The fourth proportional to 3,921.66, 5,878.71 and 1,323.18 is: 1,983.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,921.66 : 5,878.71 = 1,323.18 : x
  2. Step 2: Convert to fraction form
    3,921.66/5,878.71 = 1,323.18/x
  3. Step 3: Cross multiply
    3,921.66x = 5,878.71 × 1,323.18
  4. Step 4: Simplify right side
    3,921.66x = 7,778,591.50
  5. Step 5: Solve for x
    x = 7,778,591.50/3,921.66
  6. Step 6: Final answer
    x = 1,983.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.