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Finding the Fourth Proportional to 5,949.74, 8,210.52 and 3,297.14

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Solution

The fourth proportional to 5,949.74, 8,210.52 and 3,297.14 is: 4,549.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,949.74 : 8,210.52 = 3,297.14 : x
  2. Step 2: Convert to fraction form
    5,949.74/8,210.52 = 3,297.14/x
  3. Step 3: Cross multiply
    5,949.74x = 8,210.52 × 3,297.14
  4. Step 4: Simplify right side
    5,949.74x = 27,071,233.91
  5. Step 5: Solve for x
    x = 27,071,233.91/5,949.74
  6. Step 6: Final answer
    x = 4,549.99

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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.