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Finding the Fourth Proportional to 5,767.22, 7,956.69 and 3,281.78

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Solution

The fourth proportional to 5,767.22, 7,956.69 and 3,281.78 is: 4,527.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,767.22 : 7,956.69 = 3,281.78 : x
  2. Step 2: Convert to fraction form
    5,767.22/7,956.69 = 3,281.78/x
  3. Step 3: Cross multiply
    5,767.22x = 7,956.69 × 3,281.78
  4. Step 4: Simplify right side
    5,767.22x = 26,112,106.11
  5. Step 5: Solve for x
    x = 26,112,106.11/5,767.22
  6. Step 6: Final answer
    x = 4,527.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.