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Finding the Fourth Proportional to 5,213.97, 7,802.33 and 4,528.71

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Solution

The fourth proportional to 5,213.97, 7,802.33 and 4,528.71 is: 6,776.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.97 : 7,802.33 = 4,528.71 : x
  2. Step 2: Convert to fraction form
    5,213.97/7,802.33 = 4,528.71/x
  3. Step 3: Cross multiply
    5,213.97x = 7,802.33 × 4,528.71
  4. Step 4: Simplify right side
    5,213.97x = 35,334,467.25
  5. Step 5: Solve for x
    x = 35,334,467.25/5,213.97
  6. Step 6: Final answer
    x = 6,776.88

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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.