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Finding the Fourth Proportional to 3,402.09, 5,103.90 and 1,322.10

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Solution

The fourth proportional to 3,402.09, 5,103.90 and 1,322.10 is: 1,983.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.09 : 5,103.90 = 1,322.10 : x
  2. Step 2: Convert to fraction form
    3,402.09/5,103.90 = 1,322.10/x
  3. Step 3: Cross multiply
    3,402.09x = 5,103.90 × 1,322.10
  4. Step 4: Simplify right side
    3,402.09x = 6,747,866.19
  5. Step 5: Solve for x
    x = 6,747,866.19/3,402.09
  6. Step 6: Final answer
    x = 1,983.45

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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.