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Finding the Fourth Proportional to 3,552.77, 4,902.75 and 1,980.83

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Solution

The fourth proportional to 3,552.77, 4,902.75 and 1,980.83 is: 2,733.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,552.77 : 4,902.75 = 1,980.83 : x
  2. Step 2: Convert to fraction form
    3,552.77/4,902.75 = 1,980.83/x
  3. Step 3: Cross multiply
    3,552.77x = 4,902.75 × 1,980.83
  4. Step 4: Simplify right side
    3,552.77x = 9,711,514.28
  5. Step 5: Solve for x
    x = 9,711,514.28/3,552.77
  6. Step 6: Final answer
    x = 2,733.50

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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.