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Finding the Fourth Proportional to 3,273.48, 4,909.68 and 1,712.52

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Solution

The fourth proportional to 3,273.48, 4,909.68 and 1,712.52 is: 2,568.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,273.48 : 4,909.68 = 1,712.52 : x
  2. Step 2: Convert to fraction form
    3,273.48/4,909.68 = 1,712.52/x
  3. Step 3: Cross multiply
    3,273.48x = 4,909.68 × 1,712.52
  4. Step 4: Simplify right side
    3,273.48x = 8,407,925.19
  5. Step 5: Solve for x
    x = 8,407,925.19/3,273.48
  6. Step 6: Final answer
    x = 2,568.50

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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.