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Finding the Fourth Proportional to 4,787.72, 7,181.56 and 1,500.52

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Solution

The fourth proportional to 4,787.72, 7,181.56 and 1,500.52 is: 2,250.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,787.72 : 7,181.56 = 1,500.52 : x
  2. Step 2: Convert to fraction form
    4,787.72/7,181.56 = 1,500.52/x
  3. Step 3: Cross multiply
    4,787.72x = 7,181.56 × 1,500.52
  4. Step 4: Simplify right side
    4,787.72x = 10,776,074.41
  5. Step 5: Solve for x
    x = 10,776,074.41/4,787.72
  6. Step 6: Final answer
    x = 2,250.77

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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.