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Finding the Fourth Proportional to 5,844.66, 8,771.16 and 4,387.74

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Solution

The fourth proportional to 5,844.66, 8,771.16 and 4,387.74 is: 6,584.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,844.66 : 8,771.16 = 4,387.74 : x
  2. Step 2: Convert to fraction form
    5,844.66/8,771.16 = 4,387.74/x
  3. Step 3: Cross multiply
    5,844.66x = 8,771.16 × 4,387.74
  4. Step 4: Simplify right side
    5,844.66x = 38,485,569.58
  5. Step 5: Solve for x
    x = 38,485,569.58/5,844.66
  6. Step 6: Final answer
    x = 6,584.74

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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.