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Finding the Fourth Proportional to 4,375.82, 6,565.67 and 2,295.33

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Solution

The fourth proportional to 4,375.82, 6,565.67 and 2,295.33 is: 3,444.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,375.82 : 6,565.67 = 2,295.33 : x
  2. Step 2: Convert to fraction form
    4,375.82/6,565.67 = 2,295.33/x
  3. Step 3: Cross multiply
    4,375.82x = 6,565.67 × 2,295.33
  4. Step 4: Simplify right side
    4,375.82x = 15,070,367.84
  5. Step 5: Solve for x
    x = 15,070,367.84/4,375.82
  6. Step 6: Final answer
    x = 3,444.01

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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.