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Finding the Fourth Proportional to 5,729.35, 7,907.04 and 3,491.43

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Solution

The fourth proportional to 5,729.35, 7,907.04 and 3,491.43 is: 4,818.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.35 : 7,907.04 = 3,491.43 : x
  2. Step 2: Convert to fraction form
    5,729.35/7,907.04 = 3,491.43/x
  3. Step 3: Cross multiply
    5,729.35x = 7,907.04 × 3,491.43
  4. Step 4: Simplify right side
    5,729.35x = 27,606,876.67
  5. Step 5: Solve for x
    x = 27,606,876.67/5,729.35
  6. Step 6: Final answer
    x = 4,818.50

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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.