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Finding the Fourth Proportional to 3,783.50, 5,671.04 and 2,856.05

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Solution

The fourth proportional to 3,783.50, 5,671.04 and 2,856.05 is: 4,280.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.50 : 5,671.04 = 2,856.05 : x
  2. Step 2: Convert to fraction form
    3,783.50/5,671.04 = 2,856.05/x
  3. Step 3: Cross multiply
    3,783.50x = 5,671.04 × 2,856.05
  4. Step 4: Simplify right side
    3,783.50x = 16,196,773.79
  5. Step 5: Solve for x
    x = 16,196,773.79/3,783.50
  6. Step 6: Final answer
    x = 4,280.90

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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.