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Finding the Fourth Proportional to 4,767.86, 7,150.04 and 1,647.07

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Solution

The fourth proportional to 4,767.86, 7,150.04 and 1,647.07 is: 2,469.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767.86 : 7,150.04 = 1,647.07 : x
  2. Step 2: Convert to fraction form
    4,767.86/7,150.04 = 1,647.07/x
  3. Step 3: Cross multiply
    4,767.86x = 7,150.04 × 1,647.07
  4. Step 4: Simplify right side
    4,767.86x = 11,776,572.40
  5. Step 5: Solve for x
    x = 11,776,572.40/4,767.86
  6. Step 6: Final answer
    x = 2,469.99

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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.