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Finding the Fourth Proportional to 3,807.54, 5,253.69 and 2,214.37

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Solution

The fourth proportional to 3,807.54, 5,253.69 and 2,214.37 is: 3,055.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.54 : 5,253.69 = 2,214.37 : x
  2. Step 2: Convert to fraction form
    3,807.54/5,253.69 = 2,214.37/x
  3. Step 3: Cross multiply
    3,807.54x = 5,253.69 × 2,214.37
  4. Step 4: Simplify right side
    3,807.54x = 11,633,628.40
  5. Step 5: Solve for x
    x = 11,633,628.40/3,807.54
  6. Step 6: Final answer
    x = 3,055.42

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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.