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Finding the Fourth Proportional to 3,643.74, 5,022.54 and 2,462.76

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Solution

The fourth proportional to 3,643.74, 5,022.54 and 2,462.76 is: 3,394.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.74 : 5,022.54 = 2,462.76 : x
  2. Step 2: Convert to fraction form
    3,643.74/5,022.54 = 2,462.76/x
  3. Step 3: Cross multiply
    3,643.74x = 5,022.54 × 2,462.76
  4. Step 4: Simplify right side
    3,643.74x = 12,369,310.61
  5. Step 5: Solve for x
    x = 12,369,310.61/3,643.74
  6. Step 6: Final answer
    x = 3,394.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.