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Finding the Fourth Proportional to 3,910.34, 5,854.16 and 3,042.02

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Solution

The fourth proportional to 3,910.34, 5,854.16 and 3,042.02 is: 4,554.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,910.34 : 5,854.16 = 3,042.02 : x
  2. Step 2: Convert to fraction form
    3,910.34/5,854.16 = 3,042.02/x
  3. Step 3: Cross multiply
    3,910.34x = 5,854.16 × 3,042.02
  4. Step 4: Simplify right side
    3,910.34x = 17,808,471.80
  5. Step 5: Solve for x
    x = 17,808,471.80/3,910.34
  6. Step 6: Final answer
    x = 4,554.20

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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.