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Finding the Fourth Proportional to 5,699.43, 7,867.13 and 3,340.71

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Solution

The fourth proportional to 5,699.43, 7,867.13 and 3,340.71 is: 4,611.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,699.43 : 7,867.13 = 3,340.71 : x
  2. Step 2: Convert to fraction form
    5,699.43/7,867.13 = 3,340.71/x
  3. Step 3: Cross multiply
    5,699.43x = 7,867.13 × 3,340.71
  4. Step 4: Simplify right side
    5,699.43x = 26,281,783.16
  5. Step 5: Solve for x
    x = 26,281,783.16/5,699.43
  6. Step 6: Final answer
    x = 4,611.30

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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.