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Finding the Fourth Proportional to 4,197.61, 6,294.40 and 2,443.01

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Solution

The fourth proportional to 4,197.61, 6,294.40 and 2,443.01 is: 3,663.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.61 : 6,294.40 = 2,443.01 : x
  2. Step 2: Convert to fraction form
    4,197.61/6,294.40 = 2,443.01/x
  3. Step 3: Cross multiply
    4,197.61x = 6,294.40 × 2,443.01
  4. Step 4: Simplify right side
    4,197.61x = 15,377,286.84
  5. Step 5: Solve for x
    x = 15,377,286.84/4,197.61
  6. Step 6: Final answer
    x = 3,663.34

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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.