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Finding the Fourth Proportional to 5,729.51, 7,907.05 and 3,211.49

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Solution

The fourth proportional to 5,729.51, 7,907.05 and 3,211.49 is: 4,432.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.51 : 7,907.05 = 3,211.49 : x
  2. Step 2: Convert to fraction form
    5,729.51/7,907.05 = 3,211.49/x
  3. Step 3: Cross multiply
    5,729.51x = 7,907.05 × 3,211.49
  4. Step 4: Simplify right side
    5,729.51x = 25,393,423.74
  5. Step 5: Solve for x
    x = 25,393,423.74/5,729.51
  6. Step 6: Final answer
    x = 4,432.04

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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.