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Finding the Fourth Proportional to 5,735, 7,914.42 and 3,251

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Solution

The fourth proportional to 5,735, 7,914.42 and 3,251 is: 4,486.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735 : 7,914.42 = 3,251 : x
  2. Step 2: Convert to fraction form
    5,735/7,914.42 = 3,251/x
  3. Step 3: Cross multiply
    5,735x = 7,914.42 × 3,251
  4. Step 4: Simplify right side
    5,735x = 25,729,779.42
  5. Step 5: Solve for x
    x = 25,729,779.42/5,735
  6. Step 6: Final answer
    x = 4,486.45

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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.