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Finding the Fourth Proportional to 3,787.84, 5,682.56 and 1,155.24

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Solution

The fourth proportional to 3,787.84, 5,682.56 and 1,155.24 is: 1,733.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.84 : 5,682.56 = 1,155.24 : x
  2. Step 2: Convert to fraction form
    3,787.84/5,682.56 = 1,155.24/x
  3. Step 3: Cross multiply
    3,787.84x = 5,682.56 × 1,155.24
  4. Step 4: Simplify right side
    3,787.84x = 6,564,698.86
  5. Step 5: Solve for x
    x = 6,564,698.86/3,787.84
  6. Step 6: Final answer
    x = 1,733.10

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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.