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Finding the Fourth Proportional to 3,895, 5,372.88 and 2,402.64

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Solution

The fourth proportional to 3,895, 5,372.88 and 2,402.64 is: 3,314.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,895 : 5,372.88 = 2,402.64 : x
  2. Step 2: Convert to fraction form
    3,895/5,372.88 = 2,402.64/x
  3. Step 3: Cross multiply
    3,895x = 5,372.88 × 2,402.64
  4. Step 4: Simplify right side
    3,895x = 12,909,096.40
  5. Step 5: Solve for x
    x = 12,909,096.40/3,895
  6. Step 6: Final answer
    x = 3,314.27

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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.