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Finding the Fourth Proportional to 3,401.84, 5,103.57 and 1,321.90

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Solution

The fourth proportional to 3,401.84, 5,103.57 and 1,321.90 is: 1,983.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401.84 : 5,103.57 = 1,321.90 : x
  2. Step 2: Convert to fraction form
    3,401.84/5,103.57 = 1,321.90/x
  3. Step 3: Cross multiply
    3,401.84x = 5,103.57 × 1,321.90
  4. Step 4: Simplify right side
    3,401.84x = 6,746,409.18
  5. Step 5: Solve for x
    x = 6,746,409.18/3,401.84
  6. Step 6: Final answer
    x = 1,983.16

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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.