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Finding the Fourth Proportional to 5,164.32, 7,742.40 and 2,565.84

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Solution

The fourth proportional to 5,164.32, 7,742.40 and 2,565.84 is: 3,846.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.32 : 7,742.40 = 2,565.84 : x
  2. Step 2: Convert to fraction form
    5,164.32/7,742.40 = 2,565.84/x
  3. Step 3: Cross multiply
    5,164.32x = 7,742.40 × 2,565.84
  4. Step 4: Simplify right side
    5,164.32x = 19,865,759.62
  5. Step 5: Solve for x
    x = 19,865,759.62/5,164.32
  6. Step 6: Final answer
    x = 3,846.73

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