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Finding the Fourth Proportional to 3,406.83, 5,108.99 and 1,214.97

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Solution

The fourth proportional to 3,406.83, 5,108.99 and 1,214.97 is: 1,822.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.83 : 5,108.99 = 1,214.97 : x
  2. Step 2: Convert to fraction form
    3,406.83/5,108.99 = 1,214.97/x
  3. Step 3: Cross multiply
    3,406.83x = 5,108.99 × 1,214.97
  4. Step 4: Simplify right side
    3,406.83x = 6,207,263.51
  5. Step 5: Solve for x
    x = 6,207,263.51/3,406.83
  6. Step 6: Final answer
    x = 1,822.01

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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.