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Finding the Fourth Proportional to 3,356.84, 5,035.95 and 1,016.97

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Solution

The fourth proportional to 3,356.84, 5,035.95 and 1,016.97 is: 1,525.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,356.84 : 5,035.95 = 1,016.97 : x
  2. Step 2: Convert to fraction form
    3,356.84/5,035.95 = 1,016.97/x
  3. Step 3: Cross multiply
    3,356.84x = 5,035.95 × 1,016.97
  4. Step 4: Simplify right side
    3,356.84x = 5,121,410.07
  5. Step 5: Solve for x
    x = 5,121,410.07/3,356.84
  6. Step 6: Final answer
    x = 1,525.66

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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.