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Finding the Fourth Proportional to 5,100.40, 7,648.80 and 1,813.60

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Solution

The fourth proportional to 5,100.40, 7,648.80 and 1,813.60 is: 2,719.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100.40 : 7,648.80 = 1,813.60 : x
  2. Step 2: Convert to fraction form
    5,100.40/7,648.80 = 1,813.60/x
  3. Step 3: Cross multiply
    5,100.40x = 7,648.80 × 1,813.60
  4. Step 4: Simplify right side
    5,100.40x = 13,871,863.68
  5. Step 5: Solve for x
    x = 13,871,863.68/5,100.40
  6. Step 6: Final answer
    x = 2,719.76

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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.