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Finding the Fourth Proportional to 3,484.80, 5,229.02 and 1,405.32

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Solution

The fourth proportional to 3,484.80, 5,229.02 and 1,405.32 is: 2,108.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.80 : 5,229.02 = 1,405.32 : x
  2. Step 2: Convert to fraction form
    3,484.80/5,229.02 = 1,405.32/x
  3. Step 3: Cross multiply
    3,484.80x = 5,229.02 × 1,405.32
  4. Step 4: Simplify right side
    3,484.80x = 7,348,446.39
  5. Step 5: Solve for x
    x = 7,348,446.39/3,484.80
  6. Step 6: Final answer
    x = 2,108.71

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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.