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Finding the Fourth Proportional to 4,292.72, 6,438.32 and 1,214

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Solution

The fourth proportional to 4,292.72, 6,438.32 and 1,214 is: 1,820.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,292.72 : 6,438.32 = 1,214 : x
  2. Step 2: Convert to fraction form
    4,292.72/6,438.32 = 1,214/x
  3. Step 3: Cross multiply
    4,292.72x = 6,438.32 × 1,214
  4. Step 4: Simplify right side
    4,292.72x = 7,816,120.48
  5. Step 5: Solve for x
    x = 7,816,120.48/4,292.72
  6. Step 6: Final answer
    x = 1,820.79

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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.