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Finding the Fourth Proportional to 4,787.28, 7,181.03 and 1,500.47

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Solution

The fourth proportional to 4,787.28, 7,181.03 and 1,500.47 is: 2,250.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,787.28 : 7,181.03 = 1,500.47 : x
  2. Step 2: Convert to fraction form
    4,787.28/7,181.03 = 1,500.47/x
  3. Step 3: Cross multiply
    4,787.28x = 7,181.03 × 1,500.47
  4. Step 4: Simplify right side
    4,787.28x = 10,774,920.08
  5. Step 5: Solve for x
    x = 10,774,920.08/4,787.28
  6. Step 6: Final answer
    x = 2,250.74

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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.