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Finding the Fourth Proportional to 5,146.85, 7,709.52 and 4,267.27

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Solution

The fourth proportional to 5,146.85, 7,709.52 and 4,267.27 is: 6,391.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.85 : 7,709.52 = 4,267.27 : x
  2. Step 2: Convert to fraction form
    5,146.85/7,709.52 = 4,267.27/x
  3. Step 3: Cross multiply
    5,146.85x = 7,709.52 × 4,267.27
  4. Step 4: Simplify right side
    5,146.85x = 32,898,588.20
  5. Step 5: Solve for x
    x = 32,898,588.20/5,146.85
  6. Step 6: Final answer
    x = 6,391.98

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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.