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Finding the Fourth Proportional to 5,690.47, 7,850.31 and 3,331.57

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Solution

The fourth proportional to 5,690.47, 7,850.31 and 3,331.57 is: 4,596.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.47 : 7,850.31 = 3,331.57 : x
  2. Step 2: Convert to fraction form
    5,690.47/7,850.31 = 3,331.57/x
  3. Step 3: Cross multiply
    5,690.47x = 7,850.31 × 3,331.57
  4. Step 4: Simplify right side
    5,690.47x = 26,153,857.29
  5. Step 5: Solve for x
    x = 26,153,857.29/5,690.47
  6. Step 6: Final answer
    x = 4,596.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.