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Finding the Fourth Proportional to 3,565.35, 5,348.36 and 1,343.61

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Solution

The fourth proportional to 3,565.35, 5,348.36 and 1,343.61 is: 2,015.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.35 : 5,348.36 = 1,343.61 : x
  2. Step 2: Convert to fraction form
    3,565.35/5,348.36 = 1,343.61/x
  3. Step 3: Cross multiply
    3,565.35x = 5,348.36 × 1,343.61
  4. Step 4: Simplify right side
    3,565.35x = 7,186,113.34
  5. Step 5: Solve for x
    x = 7,186,113.34/3,565.35
  6. Step 6: Final answer
    x = 2,015.54

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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.