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Finding the Fourth Proportional to 3,565.19, 5,348.54 and 1,343.98

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Solution

The fourth proportional to 3,565.19, 5,348.54 and 1,343.98 is: 2,016.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.19 : 5,348.54 = 1,343.98 : x
  2. Step 2: Convert to fraction form
    3,565.19/5,348.54 = 1,343.98/x
  3. Step 3: Cross multiply
    3,565.19x = 5,348.54 × 1,343.98
  4. Step 4: Simplify right side
    3,565.19x = 7,188,297.33
  5. Step 5: Solve for x
    x = 7,188,297.33/3,565.19
  6. Step 6: Final answer
    x = 2,016.25

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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.