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Finding the Fourth Proportional to 4,565, 6,846.22 and 2,098.28

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Solution

The fourth proportional to 4,565, 6,846.22 and 2,098.28 is: 3,146.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,565 : 6,846.22 = 2,098.28 : x
  2. Step 2: Convert to fraction form
    4,565/6,846.22 = 2,098.28/x
  3. Step 3: Cross multiply
    4,565x = 6,846.22 × 2,098.28
  4. Step 4: Simplify right side
    4,565x = 14,365,286.50
  5. Step 5: Solve for x
    x = 14,365,286.50/4,565
  6. Step 6: Final answer
    x = 3,146.83

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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.