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Finding the Fourth Proportional to 3,398.12, 5,097.41 and 1,317.99

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Solution

The fourth proportional to 3,398.12, 5,097.41 and 1,317.99 is: 1,977.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.12 : 5,097.41 = 1,317.99 : x
  2. Step 2: Convert to fraction form
    3,398.12/5,097.41 = 1,317.99/x
  3. Step 3: Cross multiply
    3,398.12x = 5,097.41 × 1,317.99
  4. Step 4: Simplify right side
    3,398.12x = 6,718,328.82
  5. Step 5: Solve for x
    x = 6,718,328.82/3,398.12
  6. Step 6: Final answer
    x = 1,977.08

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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.