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Finding the Fourth Proportional to 3,542.67, 4,888.80 and 1,971

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Solution

The fourth proportional to 3,542.67, 4,888.80 and 1,971 is: 2,719.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.67 : 4,888.80 = 1,971 : x
  2. Step 2: Convert to fraction form
    3,542.67/4,888.80 = 1,971/x
  3. Step 3: Cross multiply
    3,542.67x = 4,888.80 × 1,971
  4. Step 4: Simplify right side
    3,542.67x = 9,635,824.80
  5. Step 5: Solve for x
    x = 9,635,824.80/3,542.67
  6. Step 6: Final answer
    x = 2,719.93

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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.