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Finding the Fourth Proportional to 3,401.66, 5,103.76 and 2,316.26

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Solution

The fourth proportional to 3,401.66, 5,103.76 and 2,316.26 is: 3,475.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401.66 : 5,103.76 = 2,316.26 : x
  2. Step 2: Convert to fraction form
    3,401.66/5,103.76 = 2,316.26/x
  3. Step 3: Cross multiply
    3,401.66x = 5,103.76 × 2,316.26
  4. Step 4: Simplify right side
    3,401.66x = 11,821,635.14
  5. Step 5: Solve for x
    x = 11,821,635.14/3,401.66
  6. Step 6: Final answer
    x = 3,475.25

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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.