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Finding the Fourth Proportional to 3,899.34, 5,849.50 and 1,527.11

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Solution

The fourth proportional to 3,899.34, 5,849.50 and 1,527.11 is: 2,290.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.34 : 5,849.50 = 1,527.11 : x
  2. Step 2: Convert to fraction form
    3,899.34/5,849.50 = 1,527.11/x
  3. Step 3: Cross multiply
    3,899.34x = 5,849.50 × 1,527.11
  4. Step 4: Simplify right side
    3,899.34x = 8,932,829.95
  5. Step 5: Solve for x
    x = 8,932,829.95/3,899.34
  6. Step 6: Final answer
    x = 2,290.86

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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.