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Finding the Fourth Proportional to 5,534.50, 7,637.00 and 3,296.07

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Solution

The fourth proportional to 5,534.50, 7,637.00 and 3,296.07 is: 4,548.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,534.50 : 7,637.00 = 3,296.07 : x
  2. Step 2: Convert to fraction form
    5,534.50/7,637.00 = 3,296.07/x
  3. Step 3: Cross multiply
    5,534.50x = 7,637.00 × 3,296.07
  4. Step 4: Simplify right side
    5,534.50x = 25,172,063.38
  5. Step 5: Solve for x
    x = 25,172,063.38/5,534.50
  6. Step 6: Final answer
    x = 4,548.21

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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.