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Finding the Fourth Proportional to 3,850.40, 5,776 and 2,094.32

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Solution

The fourth proportional to 3,850.40, 5,776 and 2,094.32 is: 3,141.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.40 : 5,776 = 2,094.32 : x
  2. Step 2: Convert to fraction form
    3,850.40/5,776 = 2,094.32/x
  3. Step 3: Cross multiply
    3,850.40x = 5,776 × 2,094.32
  4. Step 4: Simplify right side
    3,850.40x = 12,096,792.32
  5. Step 5: Solve for x
    x = 12,096,792.32/3,850.40
  6. Step 6: Final answer
    x = 3,141.70

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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.