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Finding the Fourth Proportional to 3,646.69, 5,474.43 and 2,415.17

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Solution

The fourth proportional to 3,646.69, 5,474.43 and 2,415.17 is: 3,625.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.69 : 5,474.43 = 2,415.17 : x
  2. Step 2: Convert to fraction form
    3,646.69/5,474.43 = 2,415.17/x
  3. Step 3: Cross multiply
    3,646.69x = 5,474.43 × 2,415.17
  4. Step 4: Simplify right side
    3,646.69x = 13,221,692.79
  5. Step 5: Solve for x
    x = 13,221,692.79/3,646.69
  6. Step 6: Final answer
    x = 3,625.67

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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.