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Finding the Fourth Proportional to 4,116.06, 6,168.60 and 3,565.67

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Solution

The fourth proportional to 4,116.06, 6,168.60 and 3,565.67 is: 5,343.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,116.06 : 6,168.60 = 3,565.67 : x
  2. Step 2: Convert to fraction form
    4,116.06/6,168.60 = 3,565.67/x
  3. Step 3: Cross multiply
    4,116.06x = 6,168.60 × 3,565.67
  4. Step 4: Simplify right side
    4,116.06x = 21,995,161.12
  5. Step 5: Solve for x
    x = 21,995,161.12/4,116.06
  6. Step 6: Final answer
    x = 5,343.74

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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.