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Finding the Fourth Proportional to 6,707.53, 10,079.52 and 3,589.84

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Solution

The fourth proportional to 6,707.53, 10,079.52 and 3,589.84 is: 5,394.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707.53 : 10,079.52 = 3,589.84 : x
  2. Step 2: Convert to fraction form
    6,707.53/10,079.52 = 3,589.84/x
  3. Step 3: Cross multiply
    6,707.53x = 10,079.52 × 3,589.84
  4. Step 4: Simplify right side
    6,707.53x = 36,183,864.08
  5. Step 5: Solve for x
    x = 36,183,864.08/6,707.53
  6. Step 6: Final answer
    x = 5,394.51

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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.