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Finding the Fourth Proportional to 3,536.80, 5,305.20 and 1,484.32

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Solution

The fourth proportional to 3,536.80, 5,305.20 and 1,484.32 is: 2,226.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536.80 : 5,305.20 = 1,484.32 : x
  2. Step 2: Convert to fraction form
    3,536.80/5,305.20 = 1,484.32/x
  3. Step 3: Cross multiply
    3,536.80x = 5,305.20 × 1,484.32
  4. Step 4: Simplify right side
    3,536.80x = 7,874,614.46
  5. Step 5: Solve for x
    x = 7,874,614.46/3,536.80
  6. Step 6: Final answer
    x = 2,226.48

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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.