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Finding the Fourth Proportional to 3,787.32, 5,673.42 and 3,008.64

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Solution

The fourth proportional to 3,787.32, 5,673.42 and 3,008.64 is: 4,506.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.32 : 5,673.42 = 3,008.64 : x
  2. Step 2: Convert to fraction form
    3,787.32/5,673.42 = 3,008.64/x
  3. Step 3: Cross multiply
    3,787.32x = 5,673.42 × 3,008.64
  4. Step 4: Simplify right side
    3,787.32x = 17,069,278.35
  5. Step 5: Solve for x
    x = 17,069,278.35/3,787.32
  6. Step 6: Final answer
    x = 4,506.95

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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.