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Finding the Fourth Proportional to 5,626.24, 8,430.24 and 3,428.30

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Solution

The fourth proportional to 5,626.24, 8,430.24 and 3,428.30 is: 5,136.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,626.24 : 8,430.24 = 3,428.30 : x
  2. Step 2: Convert to fraction form
    5,626.24/8,430.24 = 3,428.30/x
  3. Step 3: Cross multiply
    5,626.24x = 8,430.24 × 3,428.30
  4. Step 4: Simplify right side
    5,626.24x = 28,901,391.79
  5. Step 5: Solve for x
    x = 28,901,391.79/5,626.24
  6. Step 6: Final answer
    x = 5,136.89

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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.