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Finding the Fourth Proportional to 5,626.14, 8,439.22 and 1,466.14

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Solution

The fourth proportional to 5,626.14, 8,439.22 and 1,466.14 is: 2,199.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,626.14 : 8,439.22 = 1,466.14 : x
  2. Step 2: Convert to fraction form
    5,626.14/8,439.22 = 1,466.14/x
  3. Step 3: Cross multiply
    5,626.14x = 8,439.22 × 1,466.14
  4. Step 4: Simplify right side
    5,626.14x = 12,373,066.32
  5. Step 5: Solve for x
    x = 12,373,066.32/5,626.14
  6. Step 6: Final answer
    x = 2,199.21

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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.