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Finding the Fourth Proportional to 3,781.90, 5,674.76 and 1,701.48

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Solution

The fourth proportional to 3,781.90, 5,674.76 and 1,701.48 is: 2,553.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.90 : 5,674.76 = 1,701.48 : x
  2. Step 2: Convert to fraction form
    3,781.90/5,674.76 = 1,701.48/x
  3. Step 3: Cross multiply
    3,781.90x = 5,674.76 × 1,701.48
  4. Step 4: Simplify right side
    3,781.90x = 9,655,490.64
  5. Step 5: Solve for x
    x = 9,655,490.64/3,781.90
  6. Step 6: Final answer
    x = 2,553.08

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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.