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Finding the Fourth Proportional to 4,934.01, 7,400.34 and 1,647.03

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Solution

The fourth proportional to 4,934.01, 7,400.34 and 1,647.03 is: 2,470.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,934.01 : 7,400.34 = 1,647.03 : x
  2. Step 2: Convert to fraction form
    4,934.01/7,400.34 = 1,647.03/x
  3. Step 3: Cross multiply
    4,934.01x = 7,400.34 × 1,647.03
  4. Step 4: Simplify right side
    4,934.01x = 12,188,581.99
  5. Step 5: Solve for x
    x = 12,188,581.99/4,934.01
  6. Step 6: Final answer
    x = 2,470.32

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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.