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Finding the Fourth Proportional to 3,867.22, 5,801.16 and 1,235.10

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Solution

The fourth proportional to 3,867.22, 5,801.16 and 1,235.10 is: 1,852.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.22 : 5,801.16 = 1,235.10 : x
  2. Step 2: Convert to fraction form
    3,867.22/5,801.16 = 1,235.10/x
  3. Step 3: Cross multiply
    3,867.22x = 5,801.16 × 1,235.10
  4. Step 4: Simplify right side
    3,867.22x = 7,164,990.96
  5. Step 5: Solve for x
    x = 7,164,990.96/3,867.22
  6. Step 6: Final answer
    x = 1,852.75

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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.