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Finding the Fourth Proportional to 3,853.60, 5,780.58 and 1,881.04

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Solution

The fourth proportional to 3,853.60, 5,780.58 and 1,881.04 is: 2,821.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.60 : 5,780.58 = 1,881.04 : x
  2. Step 2: Convert to fraction form
    3,853.60/5,780.58 = 1,881.04/x
  3. Step 3: Cross multiply
    3,853.60x = 5,780.58 × 1,881.04
  4. Step 4: Simplify right side
    3,853.60x = 10,873,502.20
  5. Step 5: Solve for x
    x = 10,873,502.20/3,853.60
  6. Step 6: Final answer
    x = 2,821.65

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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.