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Finding the Fourth Proportional to 5,347.02, 8,015.67 and 3,612

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Solution

The fourth proportional to 5,347.02, 8,015.67 and 3,612 is: 5,414.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,347.02 : 8,015.67 = 3,612 : x
  2. Step 2: Convert to fraction form
    5,347.02/8,015.67 = 3,612/x
  3. Step 3: Cross multiply
    5,347.02x = 8,015.67 × 3,612
  4. Step 4: Simplify right side
    5,347.02x = 28,952,600.04
  5. Step 5: Solve for x
    x = 28,952,600.04/5,347.02
  6. Step 6: Final answer
    x = 5,414.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.