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Finding the Fourth Proportional to 5,464.50, 7,538.31 and 3,447

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Solution

The fourth proportional to 5,464.50, 7,538.31 and 3,447 is: 4,755.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,464.50 : 7,538.31 = 3,447 : x
  2. Step 2: Convert to fraction form
    5,464.50/7,538.31 = 3,447/x
  3. Step 3: Cross multiply
    5,464.50x = 7,538.31 × 3,447
  4. Step 4: Simplify right side
    5,464.50x = 25,984,554.57
  5. Step 5: Solve for x
    x = 25,984,554.57/5,464.50
  6. Step 6: Final answer
    x = 4,755.16

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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.