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Finding the Fourth Proportional to 3,257.34, 4,887.45 and 1,527.42

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Solution

The fourth proportional to 3,257.34, 4,887.45 and 1,527.42 is: 2,291.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.34 : 4,887.45 = 1,527.42 : x
  2. Step 2: Convert to fraction form
    3,257.34/4,887.45 = 1,527.42/x
  3. Step 3: Cross multiply
    3,257.34x = 4,887.45 × 1,527.42
  4. Step 4: Simplify right side
    3,257.34x = 7,465,188.88
  5. Step 5: Solve for x
    x = 7,465,188.88/3,257.34
  6. Step 6: Final answer
    x = 2,291.81

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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.