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Finding the Fourth Proportional to 5,867.40, 8,097.01 and 3,214.90

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Solution

The fourth proportional to 5,867.40, 8,097.01 and 3,214.90 is: 4,436.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,867.40 : 8,097.01 = 3,214.90 : x
  2. Step 2: Convert to fraction form
    5,867.40/8,097.01 = 3,214.90/x
  3. Step 3: Cross multiply
    5,867.40x = 8,097.01 × 3,214.90
  4. Step 4: Simplify right side
    5,867.40x = 26,031,077.45
  5. Step 5: Solve for x
    x = 26,031,077.45/5,867.40
  6. Step 6: Final answer
    x = 4,436.56

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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.