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Finding the Fourth Proportional to 3,723.84, 5,145.12 and 3,101.76

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Solution

The fourth proportional to 3,723.84, 5,145.12 and 3,101.76 is: 4,285.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,723.84 : 5,145.12 = 3,101.76 : x
  2. Step 2: Convert to fraction form
    3,723.84/5,145.12 = 3,101.76/x
  3. Step 3: Cross multiply
    3,723.84x = 5,145.12 × 3,101.76
  4. Step 4: Simplify right side
    3,723.84x = 15,958,927.41
  5. Step 5: Solve for x
    x = 15,958,927.41/3,723.84
  6. Step 6: Final answer
    x = 4,285.61

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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.