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Finding the Fourth Proportional to 4,967.01, 6,854.22 and 2,871

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Solution

The fourth proportional to 4,967.01, 6,854.22 and 2,871 is: 3,961.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.01 : 6,854.22 = 2,871 : x
  2. Step 2: Convert to fraction form
    4,967.01/6,854.22 = 2,871/x
  3. Step 3: Cross multiply
    4,967.01x = 6,854.22 × 2,871
  4. Step 4: Simplify right side
    4,967.01x = 19,678,465.62
  5. Step 5: Solve for x
    x = 19,678,465.62/4,967.01
  6. Step 6: Final answer
    x = 3,961.83

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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.