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Finding the Fourth Proportional to 3,807.83, 5,254.76 and 2,129.21

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Solution

The fourth proportional to 3,807.83, 5,254.76 and 2,129.21 is: 2,938.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.83 : 5,254.76 = 2,129.21 : x
  2. Step 2: Convert to fraction form
    3,807.83/5,254.76 = 2,129.21/x
  3. Step 3: Cross multiply
    3,807.83x = 5,254.76 × 2,129.21
  4. Step 4: Simplify right side
    3,807.83x = 11,188,506.00
  5. Step 5: Solve for x
    x = 11,188,506.00/3,807.83
  6. Step 6: Final answer
    x = 2,938.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.