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Finding the Fourth Proportional to 3,401.88, 5,103.10 and 1,454.10

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Solution

The fourth proportional to 3,401.88, 5,103.10 and 1,454.10 is: 2,181.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401.88 : 5,103.10 = 1,454.10 : x
  2. Step 2: Convert to fraction form
    3,401.88/5,103.10 = 1,454.10/x
  3. Step 3: Cross multiply
    3,401.88x = 5,103.10 × 1,454.10
  4. Step 4: Simplify right side
    3,401.88x = 7,420,417.71
  5. Step 5: Solve for x
    x = 7,420,417.71/3,401.88
  6. Step 6: Final answer
    x = 2,181.27

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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.