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Finding the Fourth Proportional to 4,960.53, 7,440.80 and 3,712.42

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Solution

The fourth proportional to 4,960.53, 7,440.80 and 3,712.42 is: 5,568.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,960.53 : 7,440.80 = 3,712.42 : x
  2. Step 2: Convert to fraction form
    4,960.53/7,440.80 = 3,712.42/x
  3. Step 3: Cross multiply
    4,960.53x = 7,440.80 × 3,712.42
  4. Step 4: Simplify right side
    4,960.53x = 27,623,374.74
  5. Step 5: Solve for x
    x = 27,623,374.74/4,960.53
  6. Step 6: Final answer
    x = 5,568.63

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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.