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Finding the Fourth Proportional to 4,226.42, 6,339.54 and 1,148.42

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Solution

The fourth proportional to 4,226.42, 6,339.54 and 1,148.42 is: 1,722.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,226.42 : 6,339.54 = 1,148.42 : x
  2. Step 2: Convert to fraction form
    4,226.42/6,339.54 = 1,148.42/x
  3. Step 3: Cross multiply
    4,226.42x = 6,339.54 × 1,148.42
  4. Step 4: Simplify right side
    4,226.42x = 7,280,454.53
  5. Step 5: Solve for x
    x = 7,280,454.53/4,226.42
  6. Step 6: Final answer
    x = 1,722.61

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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.