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Finding the Fourth Proportional to 3,514, 5,269.32 and 1,047.95

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Solution

The fourth proportional to 3,514, 5,269.32 and 1,047.95 is: 1,571.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,514 : 5,269.32 = 1,047.95 : x
  2. Step 2: Convert to fraction form
    3,514/5,269.32 = 1,047.95/x
  3. Step 3: Cross multiply
    3,514x = 5,269.32 × 1,047.95
  4. Step 4: Simplify right side
    3,514x = 5,521,983.89
  5. Step 5: Solve for x
    x = 5,521,983.89/3,514
  6. Step 6: Final answer
    x = 1,571.42

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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.