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Finding the Fourth Proportional to 3,542.96, 4,889.22 and 1,971.04

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Solution

The fourth proportional to 3,542.96, 4,889.22 and 1,971.04 is: 2,720.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.96 : 4,889.22 = 1,971.04 : x
  2. Step 2: Convert to fraction form
    3,542.96/4,889.22 = 1,971.04/x
  3. Step 3: Cross multiply
    3,542.96x = 4,889.22 × 1,971.04
  4. Step 4: Simplify right side
    3,542.96x = 9,636,848.19
  5. Step 5: Solve for x
    x = 9,636,848.19/3,542.96
  6. Step 6: Final answer
    x = 2,720.00

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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.