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Finding the Fourth Proportional to 5,765.45, 7,956.10 and 3,527.42

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Solution

The fourth proportional to 5,765.45, 7,956.10 and 3,527.42 is: 4,867.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.45 : 7,956.10 = 3,527.42 : x
  2. Step 2: Convert to fraction form
    5,765.45/7,956.10 = 3,527.42/x
  3. Step 3: Cross multiply
    5,765.45x = 7,956.10 × 3,527.42
  4. Step 4: Simplify right side
    5,765.45x = 28,064,506.26
  5. Step 5: Solve for x
    x = 28,064,506.26/5,765.45
  6. Step 6: Final answer
    x = 4,867.70

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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.