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Finding the Fourth Proportional to 5,867.91, 8,097.87 and 3,215.43

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Solution

The fourth proportional to 5,867.91, 8,097.87 and 3,215.43 is: 4,437.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,867.91 : 8,097.87 = 3,215.43 : x
  2. Step 2: Convert to fraction form
    5,867.91/8,097.87 = 3,215.43/x
  3. Step 3: Cross multiply
    5,867.91x = 8,097.87 × 3,215.43
  4. Step 4: Simplify right side
    5,867.91x = 26,038,146.19
  5. Step 5: Solve for x
    x = 26,038,146.19/5,867.91
  6. Step 6: Final answer
    x = 4,437.38

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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.