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Finding the Fourth Proportional to 3,317.01, 4,975.58 and 851.84

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Solution

The fourth proportional to 3,317.01, 4,975.58 and 851.84 is: 1,277.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,317.01 : 4,975.58 = 851.84 : x
  2. Step 2: Convert to fraction form
    3,317.01/4,975.58 = 851.84/x
  3. Step 3: Cross multiply
    3,317.01x = 4,975.58 × 851.84
  4. Step 4: Simplify right side
    3,317.01x = 4,238,398.07
  5. Step 5: Solve for x
    x = 4,238,398.07/3,317.01
  6. Step 6: Final answer
    x = 1,277.78

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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.