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Finding the Fourth Proportional to 5,867.57, 8,097.18 and 3,178.74

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Solution

The fourth proportional to 5,867.57, 8,097.18 and 3,178.74 is: 4,386.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,867.57 : 8,097.18 = 3,178.74 : x
  2. Step 2: Convert to fraction form
    5,867.57/8,097.18 = 3,178.74/x
  3. Step 3: Cross multiply
    5,867.57x = 8,097.18 × 3,178.74
  4. Step 4: Simplify right side
    5,867.57x = 25,738,809.71
  5. Step 5: Solve for x
    x = 25,738,809.71/5,867.57
  6. Step 6: Final answer
    x = 4,386.62

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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.