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Finding the Fourth Proportional to 4,974.94, 7,459.89 and 2,783.08

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Solution

The fourth proportional to 4,974.94, 7,459.89 and 2,783.08 is: 4,173.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.94 : 7,459.89 = 2,783.08 : x
  2. Step 2: Convert to fraction form
    4,974.94/7,459.89 = 2,783.08/x
  3. Step 3: Cross multiply
    4,974.94x = 7,459.89 × 2,783.08
  4. Step 4: Simplify right side
    4,974.94x = 20,761,470.66
  5. Step 5: Solve for x
    x = 20,761,470.66/4,974.94
  6. Step 6: Final answer
    x = 4,173.21

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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.