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Finding the Fourth Proportional to 3,787.84, 5,681.70 and 1,322.62

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Solution

The fourth proportional to 3,787.84, 5,681.70 and 1,322.62 is: 1,983.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.84 : 5,681.70 = 1,322.62 : x
  2. Step 2: Convert to fraction form
    3,787.84/5,681.70 = 1,322.62/x
  3. Step 3: Cross multiply
    3,787.84x = 5,681.70 × 1,322.62
  4. Step 4: Simplify right side
    3,787.84x = 7,514,730.05
  5. Step 5: Solve for x
    x = 7,514,730.05/3,787.84
  6. Step 6: Final answer
    x = 1,983.91

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1.5x scale

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.