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Finding the Fourth Proportional to 5,009.52, 7,514.55 and 1,546.50

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Solution

The fourth proportional to 5,009.52, 7,514.55 and 1,546.50 is: 2,319.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,009.52 : 7,514.55 = 1,546.50 : x
  2. Step 2: Convert to fraction form
    5,009.52/7,514.55 = 1,546.50/x
  3. Step 3: Cross multiply
    5,009.52x = 7,514.55 × 1,546.50
  4. Step 4: Simplify right side
    5,009.52x = 11,621,251.58
  5. Step 5: Solve for x
    x = 11,621,251.58/5,009.52
  6. Step 6: Final answer
    x = 2,319.83

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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.