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Finding the Fourth Proportional to 3,848.70, 5,765.82 and 2,200.32

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Solution

The fourth proportional to 3,848.70, 5,765.82 and 2,200.32 is: 3,296.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848.70 : 5,765.82 = 2,200.32 : x
  2. Step 2: Convert to fraction form
    3,848.70/5,765.82 = 2,200.32/x
  3. Step 3: Cross multiply
    3,848.70x = 5,765.82 × 2,200.32
  4. Step 4: Simplify right side
    3,848.70x = 12,686,649.06
  5. Step 5: Solve for x
    x = 12,686,649.06/3,848.70
  6. Step 6: Final answer
    x = 3,296.35

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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.