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Finding the Fourth Proportional to 4,339.85, 6,507.27 and 3,820.90

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Solution

The fourth proportional to 4,339.85, 6,507.27 and 3,820.90 is: 5,729.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,339.85 : 6,507.27 = 3,820.90 : x
  2. Step 2: Convert to fraction form
    4,339.85/6,507.27 = 3,820.90/x
  3. Step 3: Cross multiply
    4,339.85x = 6,507.27 × 3,820.90
  4. Step 4: Simplify right side
    4,339.85x = 24,863,621.69
  5. Step 5: Solve for x
    x = 24,863,621.69/4,339.85
  6. Step 6: Final answer
    x = 5,729.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.