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Finding the Fourth Proportional to 5,729.89, 7,907.88 and 3,212.24

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Solution

The fourth proportional to 5,729.89, 7,907.88 and 3,212.24 is: 4,433.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.89 : 7,907.88 = 3,212.24 : x
  2. Step 2: Convert to fraction form
    5,729.89/7,907.88 = 3,212.24/x
  3. Step 3: Cross multiply
    5,729.89x = 7,907.88 × 3,212.24
  4. Step 4: Simplify right side
    5,729.89x = 25,402,008.45
  5. Step 5: Solve for x
    x = 25,402,008.45/5,729.89
  6. Step 6: Final answer
    x = 4,433.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.