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Finding the Fourth Proportional to 3,529.76, 5,288.88 and 1,796

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Solution

The fourth proportional to 3,529.76, 5,288.88 and 1,796 is: 2,691.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,529.76 : 5,288.88 = 1,796 : x
  2. Step 2: Convert to fraction form
    3,529.76/5,288.88 = 1,796/x
  3. Step 3: Cross multiply
    3,529.76x = 5,288.88 × 1,796
  4. Step 4: Simplify right side
    3,529.76x = 9,498,828.48
  5. Step 5: Solve for x
    x = 9,498,828.48/3,529.76
  6. Step 6: Final answer
    x = 2,691.07

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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.