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Finding the Fourth Proportional to 3,602.98, 4,971.18 and 2,422

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Solution

The fourth proportional to 3,602.98, 4,971.18 and 2,422 is: 3,341.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.98 : 4,971.18 = 2,422 : x
  2. Step 2: Convert to fraction form
    3,602.98/4,971.18 = 2,422/x
  3. Step 3: Cross multiply
    3,602.98x = 4,971.18 × 2,422
  4. Step 4: Simplify right side
    3,602.98x = 12,040,197.96
  5. Step 5: Solve for x
    x = 12,040,197.96/3,602.98
  6. Step 6: Final answer
    x = 3,341.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.