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Finding the Fourth Proportional to 5,975.69, 8,962.52 and 1,593.18

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Solution

The fourth proportional to 5,975.69, 8,962.52 and 1,593.18 is: 2,389.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,975.69 : 8,962.52 = 1,593.18 : x
  2. Step 2: Convert to fraction form
    5,975.69/8,962.52 = 1,593.18/x
  3. Step 3: Cross multiply
    5,975.69x = 8,962.52 × 1,593.18
  4. Step 4: Simplify right side
    5,975.69x = 14,278,899.65
  5. Step 5: Solve for x
    x = 14,278,899.65/5,975.69
  6. Step 6: Final answer
    x = 2,389.50

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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.