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Finding the Fourth Proportional to 4,371, 6,557.61 and 1,293

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Solution

The fourth proportional to 4,371, 6,557.61 and 1,293 is: 1,939.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,371 : 6,557.61 = 1,293 : x
  2. Step 2: Convert to fraction form
    4,371/6,557.61 = 1,293/x
  3. Step 3: Cross multiply
    4,371x = 6,557.61 × 1,293
  4. Step 4: Simplify right side
    4,371x = 8,478,989.73
  5. Step 5: Solve for x
    x = 8,478,989.73/4,371
  6. Step 6: Final answer
    x = 1,939.83

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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.