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Finding the Fourth Proportional to 3,723.84, 5,134.64 and 2,377.62

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Solution

The fourth proportional to 3,723.84, 5,134.64 and 2,377.62 is: 3,278.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,723.84 : 5,134.64 = 2,377.62 : x
  2. Step 2: Convert to fraction form
    3,723.84/5,134.64 = 2,377.62/x
  3. Step 3: Cross multiply
    3,723.84x = 5,134.64 × 2,377.62
  4. Step 4: Simplify right side
    3,723.84x = 12,208,224.24
  5. Step 5: Solve for x
    x = 12,208,224.24/3,723.84
  6. Step 6: Final answer
    x = 3,278.40

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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.