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Finding the Fourth Proportional to 5,812.25, 8,720.42 and 2,524.91

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Solution

The fourth proportional to 5,812.25, 8,720.42 and 2,524.91 is: 3,788.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812.25 : 8,720.42 = 2,524.91 : x
  2. Step 2: Convert to fraction form
    5,812.25/8,720.42 = 2,524.91/x
  3. Step 3: Cross multiply
    5,812.25x = 8,720.42 × 2,524.91
  4. Step 4: Simplify right side
    5,812.25x = 22,018,219.44
  5. Step 5: Solve for x
    x = 22,018,219.44/5,812.25
  6. Step 6: Final answer
    x = 3,788.25

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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.