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Finding the Fourth Proportional to 4,349.01, 6,523.52 and 1,575.68

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Solution

The fourth proportional to 4,349.01, 6,523.52 and 1,575.68 is: 2,363.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,349.01 : 6,523.52 = 1,575.68 : x
  2. Step 2: Convert to fraction form
    4,349.01/6,523.52 = 1,575.68/x
  3. Step 3: Cross multiply
    4,349.01x = 6,523.52 × 1,575.68
  4. Step 4: Simplify right side
    4,349.01x = 10,278,939.50
  5. Step 5: Solve for x
    x = 10,278,939.50/4,349.01
  6. Step 6: Final answer
    x = 2,363.51

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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.