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Finding the Fourth Proportional to 3,401.56, 5,101.66 and 935.74

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Solution

The fourth proportional to 3,401.56, 5,101.66 and 935.74 is: 1,403.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401.56 : 5,101.66 = 935.74 : x
  2. Step 2: Convert to fraction form
    3,401.56/5,101.66 = 935.74/x
  3. Step 3: Cross multiply
    3,401.56x = 5,101.66 × 935.74
  4. Step 4: Simplify right side
    3,401.56x = 4,773,827.33
  5. Step 5: Solve for x
    x = 4,773,827.33/3,401.56
  6. Step 6: Final answer
    x = 1,403.42

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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.