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Finding the Fourth Proportional to 5,644.04, 8,462.94 and 3,867.14

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Solution

The fourth proportional to 5,644.04, 8,462.94 and 3,867.14 is: 5,798.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.04 : 8,462.94 = 3,867.14 : x
  2. Step 2: Convert to fraction form
    5,644.04/8,462.94 = 3,867.14/x
  3. Step 3: Cross multiply
    5,644.04x = 8,462.94 × 3,867.14
  4. Step 4: Simplify right side
    5,644.04x = 32,727,373.79
  5. Step 5: Solve for x
    x = 32,727,373.79/5,644.04
  6. Step 6: Final answer
    x = 5,798.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.