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Finding the Fourth Proportional to 7,049.97, 10,575 and 3,153.60

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Solution

The fourth proportional to 7,049.97, 10,575 and 3,153.60 is: 4,730.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,049.97 : 10,575 = 3,153.60 : x
  2. Step 2: Convert to fraction form
    7,049.97/10,575 = 3,153.60/x
  3. Step 3: Cross multiply
    7,049.97x = 10,575 × 3,153.60
  4. Step 4: Simplify right side
    7,049.97x = 33,349,320
  5. Step 5: Solve for x
    x = 33,349,320/7,049.97
  6. Step 6: Final answer
    x = 4,730.42

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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.