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Finding the Fourth Proportional to 3,764.57, 5,646.45 and 2,301.17

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Solution

The fourth proportional to 3,764.57, 5,646.45 and 2,301.17 is: 3,451.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.57 : 5,646.45 = 2,301.17 : x
  2. Step 2: Convert to fraction form
    3,764.57/5,646.45 = 2,301.17/x
  3. Step 3: Cross multiply
    3,764.57x = 5,646.45 × 2,301.17
  4. Step 4: Simplify right side
    3,764.57x = 12,993,441.35
  5. Step 5: Solve for x
    x = 12,993,441.35/3,764.57
  6. Step 6: Final answer
    x = 3,451.51

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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.