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Finding the Fourth Proportional to 3,807, 5,253.16 and 2,128.20

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Solution

The fourth proportional to 3,807, 5,253.16 and 2,128.20 is: 2,936.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807 : 5,253.16 = 2,128.20 : x
  2. Step 2: Convert to fraction form
    3,807/5,253.16 = 2,128.20/x
  3. Step 3: Cross multiply
    3,807x = 5,253.16 × 2,128.20
  4. Step 4: Simplify right side
    3,807x = 11,179,775.11
  5. Step 5: Solve for x
    x = 11,179,775.11/3,807
  6. Step 6: Final answer
    x = 2,936.64

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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.