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Finding the Fourth Proportional to 4,375.96, 6,565.38 and 1,778.20

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Solution

The fourth proportional to 4,375.96, 6,565.38 and 1,778.20 is: 2,667.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,375.96 : 6,565.38 = 1,778.20 : x
  2. Step 2: Convert to fraction form
    4,375.96/6,565.38 = 1,778.20/x
  3. Step 3: Cross multiply
    4,375.96x = 6,565.38 × 1,778.20
  4. Step 4: Simplify right side
    4,375.96x = 11,674,558.72
  5. Step 5: Solve for x
    x = 11,674,558.72/4,375.96
  6. Step 6: Final answer
    x = 2,667.89

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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.