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Finding the Fourth Proportional to 3,787.58, 5,678.80 and 1,937.18

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Solution

The fourth proportional to 3,787.58, 5,678.80 and 1,937.18 is: 2,904.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.58 : 5,678.80 = 1,937.18 : x
  2. Step 2: Convert to fraction form
    3,787.58/5,678.80 = 1,937.18/x
  3. Step 3: Cross multiply
    3,787.58x = 5,678.80 × 1,937.18
  4. Step 4: Simplify right side
    3,787.58x = 11,000,857.78
  5. Step 5: Solve for x
    x = 11,000,857.78/3,787.58
  6. Step 6: Final answer
    x = 2,904.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.