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Finding the Fourth Proportional to 4,772.52, 7,143.93 and 2,575.80

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Solution

The fourth proportional to 4,772.52, 7,143.93 and 2,575.80 is: 3,855.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,772.52 : 7,143.93 = 2,575.80 : x
  2. Step 2: Convert to fraction form
    4,772.52/7,143.93 = 2,575.80/x
  3. Step 3: Cross multiply
    4,772.52x = 7,143.93 × 2,575.80
  4. Step 4: Simplify right side
    4,772.52x = 18,401,334.89
  5. Step 5: Solve for x
    x = 18,401,334.89/4,772.52
  6. Step 6: Final answer
    x = 3,855.69

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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.