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Finding the Fourth Proportional to 3,752.83, 5,178.03 and 2,260.20

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Solution

The fourth proportional to 3,752.83, 5,178.03 and 2,260.20 is: 3,118.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752.83 : 5,178.03 = 2,260.20 : x
  2. Step 2: Convert to fraction form
    3,752.83/5,178.03 = 2,260.20/x
  3. Step 3: Cross multiply
    3,752.83x = 5,178.03 × 2,260.20
  4. Step 4: Simplify right side
    3,752.83x = 11,703,394.35
  5. Step 5: Solve for x
    x = 11,703,394.35/3,752.83
  6. Step 6: Final answer
    x = 3,118.55

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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.