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Finding the Fourth Proportional to 5,765.34, 7,956.92 and 3,247.93

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Solution

The fourth proportional to 5,765.34, 7,956.92 and 3,247.93 is: 4,482.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.34 : 7,956.92 = 3,247.93 : x
  2. Step 2: Convert to fraction form
    5,765.34/7,956.92 = 3,247.93/x
  3. Step 3: Cross multiply
    5,765.34x = 7,956.92 × 3,247.93
  4. Step 4: Simplify right side
    5,765.34x = 25,843,502.94
  5. Step 5: Solve for x
    x = 25,843,502.94/5,765.34
  6. Step 6: Final answer
    x = 4,482.57

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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.