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Finding the Fourth Proportional to 5,873.66, 8,105.07 and 3,515.74

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Solution

The fourth proportional to 5,873.66, 8,105.07 and 3,515.74 is: 4,851.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,873.66 : 8,105.07 = 3,515.74 : x
  2. Step 2: Convert to fraction form
    5,873.66/8,105.07 = 3,515.74/x
  3. Step 3: Cross multiply
    5,873.66x = 8,105.07 × 3,515.74
  4. Step 4: Simplify right side
    5,873.66x = 28,495,318.80
  5. Step 5: Solve for x
    x = 28,495,318.80/5,873.66
  6. Step 6: Final answer
    x = 4,851.37

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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.