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Finding the Fourth Proportional to 4,266.37, 5,885.20 and 2,497.64

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Solution

The fourth proportional to 4,266.37, 5,885.20 and 2,497.64 is: 3,445.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,266.37 : 5,885.20 = 2,497.64 : x
  2. Step 2: Convert to fraction form
    4,266.37/5,885.20 = 2,497.64/x
  3. Step 3: Cross multiply
    4,266.37x = 5,885.20 × 2,497.64
  4. Step 4: Simplify right side
    4,266.37x = 14,699,084.62
  5. Step 5: Solve for x
    x = 14,699,084.62/4,266.37
  6. Step 6: Final answer
    x = 3,445.34

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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.