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Finding the Fourth Proportional to 5,246.34, 7,869.48 and 1,350.78

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Solution

The fourth proportional to 5,246.34, 7,869.48 and 1,350.78 is: 2,026.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,246.34 : 7,869.48 = 1,350.78 : x
  2. Step 2: Convert to fraction form
    5,246.34/7,869.48 = 1,350.78/x
  3. Step 3: Cross multiply
    5,246.34x = 7,869.48 × 1,350.78
  4. Step 4: Simplify right side
    5,246.34x = 10,629,936.19
  5. Step 5: Solve for x
    x = 10,629,936.19/5,246.34
  6. Step 6: Final answer
    x = 2,026.16

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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.