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Finding the Fourth Proportional to 3,432.54, 5,148.81 and 835.46

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Solution

The fourth proportional to 3,432.54, 5,148.81 and 835.46 is: 1,253.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,432.54 : 5,148.81 = 835.46 : x
  2. Step 2: Convert to fraction form
    3,432.54/5,148.81 = 835.46/x
  3. Step 3: Cross multiply
    3,432.54x = 5,148.81 × 835.46
  4. Step 4: Simplify right side
    3,432.54x = 4,301,624.80
  5. Step 5: Solve for x
    x = 4,301,624.80/3,432.54
  6. Step 6: Final answer
    x = 1,253.19

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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.