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Finding the Fourth Proportional to 3,401.91, 5,103.36 and 1,210.46

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Solution

The fourth proportional to 3,401.91, 5,103.36 and 1,210.46 is: 1,815.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401.91 : 5,103.36 = 1,210.46 : x
  2. Step 2: Convert to fraction form
    3,401.91/5,103.36 = 1,210.46/x
  3. Step 3: Cross multiply
    3,401.91x = 5,103.36 × 1,210.46
  4. Step 4: Simplify right side
    3,401.91x = 6,177,387.63
  5. Step 5: Solve for x
    x = 6,177,387.63/3,401.91
  6. Step 6: Final answer
    x = 1,815.86

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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.