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Finding the Fourth Proportional to 5,257.42, 7,885.64 and 3,064.78

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Solution

The fourth proportional to 5,257.42, 7,885.64 and 3,064.78 is: 4,596.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257.42 : 7,885.64 = 3,064.78 : x
  2. Step 2: Convert to fraction form
    5,257.42/7,885.64 = 3,064.78/x
  3. Step 3: Cross multiply
    5,257.42x = 7,885.64 × 3,064.78
  4. Step 4: Simplify right side
    5,257.42x = 24,167,751.76
  5. Step 5: Solve for x
    x = 24,167,751.76/5,257.42
  6. Step 6: Final answer
    x = 4,596.88

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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.