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Finding the Fourth Proportional to 3,769.24, 5,652.60 and 1,547.50

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Solution

The fourth proportional to 3,769.24, 5,652.60 and 1,547.50 is: 2,320.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.24 : 5,652.60 = 1,547.50 : x
  2. Step 2: Convert to fraction form
    3,769.24/5,652.60 = 1,547.50/x
  3. Step 3: Cross multiply
    3,769.24x = 5,652.60 × 1,547.50
  4. Step 4: Simplify right side
    3,769.24x = 8,747,398.50
  5. Step 5: Solve for x
    x = 8,747,398.50/3,769.24
  6. Step 6: Final answer
    x = 2,320.73

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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.