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Finding the Fourth Proportional to 5,053.38, 7,579.54 and 1,356

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Solution

The fourth proportional to 5,053.38, 7,579.54 and 1,356 is: 2,033.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,053.38 : 7,579.54 = 1,356 : x
  2. Step 2: Convert to fraction form
    5,053.38/7,579.54 = 1,356/x
  3. Step 3: Cross multiply
    5,053.38x = 7,579.54 × 1,356
  4. Step 4: Simplify right side
    5,053.38x = 10,277,856.24
  5. Step 5: Solve for x
    x = 10,277,856.24/5,053.38
  6. Step 6: Final answer
    x = 2,033.86

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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.