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Finding the Fourth Proportional to 5,356.33, 8,035.62 and 1,846.66

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Solution

The fourth proportional to 5,356.33, 8,035.62 and 1,846.66 is: 2,770.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,356.33 : 8,035.62 = 1,846.66 : x
  2. Step 2: Convert to fraction form
    5,356.33/8,035.62 = 1,846.66/x
  3. Step 3: Cross multiply
    5,356.33x = 8,035.62 × 1,846.66
  4. Step 4: Simplify right side
    5,356.33x = 14,839,058.03
  5. Step 5: Solve for x
    x = 14,839,058.03/5,356.33
  6. Step 6: Final answer
    x = 2,770.38

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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.