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Finding the Fourth Proportional to 5,202.75, 7,802.72 and 2,426.71

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Solution

The fourth proportional to 5,202.75, 7,802.72 and 2,426.71 is: 3,639.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.75 : 7,802.72 = 2,426.71 : x
  2. Step 2: Convert to fraction form
    5,202.75/7,802.72 = 2,426.71/x
  3. Step 3: Cross multiply
    5,202.75x = 7,802.72 × 2,426.71
  4. Step 4: Simplify right side
    5,202.75x = 18,934,907.01
  5. Step 5: Solve for x
    x = 18,934,907.01/5,202.75
  6. Step 6: Final answer
    x = 3,639.40

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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.