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Finding the Fourth Proportional to 5,223.16, 7,829.25 and 3,834.40

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Solution

The fourth proportional to 5,223.16, 7,829.25 and 3,834.40 is: 5,747.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.16 : 7,829.25 = 3,834.40 : x
  2. Step 2: Convert to fraction form
    5,223.16/7,829.25 = 3,834.40/x
  3. Step 3: Cross multiply
    5,223.16x = 7,829.25 × 3,834.40
  4. Step 4: Simplify right side
    5,223.16x = 30,020,476.20
  5. Step 5: Solve for x
    x = 30,020,476.20/5,223.16
  6. Step 6: Final answer
    x = 5,747.57

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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.