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Finding the Fourth Proportional to 3,915.84, 5,872.80 and 1,318.72

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Solution

The fourth proportional to 3,915.84, 5,872.80 and 1,318.72 is: 1,977.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,915.84 : 5,872.80 = 1,318.72 : x
  2. Step 2: Convert to fraction form
    3,915.84/5,872.80 = 1,318.72/x
  3. Step 3: Cross multiply
    3,915.84x = 5,872.80 × 1,318.72
  4. Step 4: Simplify right side
    3,915.84x = 7,744,578.82
  5. Step 5: Solve for x
    x = 7,744,578.82/3,915.84
  6. Step 6: Final answer
    x = 1,977.76

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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.