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Finding the Fourth Proportional to 7,040.81, 9,716.63 and 3,897

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Solution

The fourth proportional to 7,040.81, 9,716.63 and 3,897 is: 5,378.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,040.81 : 9,716.63 = 3,897 : x
  2. Step 2: Convert to fraction form
    7,040.81/9,716.63 = 3,897/x
  3. Step 3: Cross multiply
    7,040.81x = 9,716.63 × 3,897
  4. Step 4: Simplify right side
    7,040.81x = 37,865,687.63
  5. Step 5: Solve for x
    x = 37,865,687.63/7,040.81
  6. Step 6: Final answer
    x = 5,378.03

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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.