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Finding the Fourth Proportional to 4,984.71, 7,478.42 and 1,474.89

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Solution

The fourth proportional to 4,984.71, 7,478.42 and 1,474.89 is: 2,212.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,984.71 : 7,478.42 = 1,474.89 : x
  2. Step 2: Convert to fraction form
    4,984.71/7,478.42 = 1,474.89/x
  3. Step 3: Cross multiply
    4,984.71x = 7,478.42 × 1,474.89
  4. Step 4: Simplify right side
    4,984.71x = 11,029,846.87
  5. Step 5: Solve for x
    x = 11,029,846.87/4,984.71
  6. Step 6: Final answer
    x = 2,212.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.