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Finding the Fourth Proportional to 3,399.98, 5,100.02 and 934.78

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Solution

The fourth proportional to 3,399.98, 5,100.02 and 934.78 is: 1,402.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,399.98 : 5,100.02 = 934.78 : x
  2. Step 2: Convert to fraction form
    3,399.98/5,100.02 = 934.78/x
  3. Step 3: Cross multiply
    3,399.98x = 5,100.02 × 934.78
  4. Step 4: Simplify right side
    3,399.98x = 4,767,386.28
  5. Step 5: Solve for x
    x = 4,767,386.28/3,399.98
  6. Step 6: Final answer
    x = 1,402.18

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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.