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Finding the Fourth Proportional to 5,867.49, 8,097.15 and 3,214.91

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Solution

The fourth proportional to 5,867.49, 8,097.15 and 3,214.91 is: 4,436.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,867.49 : 8,097.15 = 3,214.91 : x
  2. Step 2: Convert to fraction form
    5,867.49/8,097.15 = 3,214.91/x
  3. Step 3: Cross multiply
    5,867.49x = 8,097.15 × 3,214.91
  4. Step 4: Simplify right side
    5,867.49x = 26,031,568.02
  5. Step 5: Solve for x
    x = 26,031,568.02/5,867.49
  6. Step 6: Final answer
    x = 4,436.58

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1.5x scale

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.