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Finding the Fourth Proportional to 5,729.58, 7,907.15 and 3,212.51

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Solution

The fourth proportional to 5,729.58, 7,907.15 and 3,212.51 is: 4,433.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.58 : 7,907.15 = 3,212.51 : x
  2. Step 2: Convert to fraction form
    5,729.58/7,907.15 = 3,212.51/x
  3. Step 3: Cross multiply
    5,729.58x = 7,907.15 × 3,212.51
  4. Step 4: Simplify right side
    5,729.58x = 25,401,826.25
  5. Step 5: Solve for x
    x = 25,401,826.25/5,729.58
  6. Step 6: Final answer
    x = 4,433.45

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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.