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Finding the Fourth Proportional to 3,433.48, 5,150.16 and 836.40

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Solution

The fourth proportional to 3,433.48, 5,150.16 and 836.40 is: 1,254.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433.48 : 5,150.16 = 836.40 : x
  2. Step 2: Convert to fraction form
    3,433.48/5,150.16 = 836.40/x
  3. Step 3: Cross multiply
    3,433.48x = 5,150.16 × 836.40
  4. Step 4: Simplify right side
    3,433.48x = 4,307,593.82
  5. Step 5: Solve for x
    x = 4,307,593.82/3,433.48
  6. Step 6: Final answer
    x = 1,254.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.