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Finding the Fourth Proportional to 5,729.40, 7,911.39 and 4,310.63

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Solution

The fourth proportional to 5,729.40, 7,911.39 and 4,310.63 is: 5,952.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.40 : 7,911.39 = 4,310.63 : x
  2. Step 2: Convert to fraction form
    5,729.40/7,911.39 = 4,310.63/x
  3. Step 3: Cross multiply
    5,729.40x = 7,911.39 × 4,310.63
  4. Step 4: Simplify right side
    5,729.40x = 34,103,075.08
  5. Step 5: Solve for x
    x = 34,103,075.08/5,729.40
  6. Step 6: Final answer
    x = 5,952.29

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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.