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Finding the Fourth Proportional to 4,458.16, 6,697.49 and 3,144.94

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Solution

The fourth proportional to 4,458.16, 6,697.49 and 3,144.94 is: 4,724.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,458.16 : 6,697.49 = 3,144.94 : x
  2. Step 2: Convert to fraction form
    4,458.16/6,697.49 = 3,144.94/x
  3. Step 3: Cross multiply
    4,458.16x = 6,697.49 × 3,144.94
  4. Step 4: Simplify right side
    4,458.16x = 21,063,178.58
  5. Step 5: Solve for x
    x = 21,063,178.58/4,458.16
  6. Step 6: Final answer
    x = 4,724.63

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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.