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Finding the Fourth Proportional to 5,121.42, 7,697.29 and 4,249.58

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Solution

The fourth proportional to 5,121.42, 7,697.29 and 4,249.58 is: 6,386.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,121.42 : 7,697.29 = 4,249.58 : x
  2. Step 2: Convert to fraction form
    5,121.42/7,697.29 = 4,249.58/x
  3. Step 3: Cross multiply
    5,121.42x = 7,697.29 × 4,249.58
  4. Step 4: Simplify right side
    5,121.42x = 32,710,249.64
  5. Step 5: Solve for x
    x = 32,710,249.64/5,121.42
  6. Step 6: Final answer
    x = 6,386.95

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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.