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Finding the Fourth Proportional to 3,845.68, 5,764.66 and 1,502.45

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Solution

The fourth proportional to 3,845.68, 5,764.66 and 1,502.45 is: 2,252.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,845.68 : 5,764.66 = 1,502.45 : x
  2. Step 2: Convert to fraction form
    3,845.68/5,764.66 = 1,502.45/x
  3. Step 3: Cross multiply
    3,845.68x = 5,764.66 × 1,502.45
  4. Step 4: Simplify right side
    3,845.68x = 8,661,113.42
  5. Step 5: Solve for x
    x = 8,661,113.42/3,845.68
  6. Step 6: Final answer
    x = 2,252.17

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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.