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Finding the Fourth Proportional to 4,813.70, 7,224.66 and 3,430.42

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Solution

The fourth proportional to 4,813.70, 7,224.66 and 3,430.42 is: 5,148.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,813.70 : 7,224.66 = 3,430.42 : x
  2. Step 2: Convert to fraction form
    4,813.70/7,224.66 = 3,430.42/x
  3. Step 3: Cross multiply
    4,813.70x = 7,224.66 × 3,430.42
  4. Step 4: Simplify right side
    4,813.70x = 24,783,600.10
  5. Step 5: Solve for x
    x = 24,783,600.10/4,813.70
  6. Step 6: Final answer
    x = 5,148.56

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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.