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Finding the Fourth Proportional to 4,937.53, 7,407.46 and 1,474.69

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Solution

The fourth proportional to 4,937.53, 7,407.46 and 1,474.69 is: 2,212.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,937.53 : 7,407.46 = 1,474.69 : x
  2. Step 2: Convert to fraction form
    4,937.53/7,407.46 = 1,474.69/x
  3. Step 3: Cross multiply
    4,937.53x = 7,407.46 × 1,474.69
  4. Step 4: Simplify right side
    4,937.53x = 10,923,707.19
  5. Step 5: Solve for x
    x = 10,923,707.19/4,937.53
  6. Step 6: Final answer
    x = 2,212.38

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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.