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Finding the Fourth Proportional to 5,803.38, 8,006.26 and 4,314.86

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Solution

The fourth proportional to 5,803.38, 8,006.26 and 4,314.86 is: 5,952.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,803.38 : 8,006.26 = 4,314.86 : x
  2. Step 2: Convert to fraction form
    5,803.38/8,006.26 = 4,314.86/x
  3. Step 3: Cross multiply
    5,803.38x = 8,006.26 × 4,314.86
  4. Step 4: Simplify right side
    5,803.38x = 34,545,891.02
  5. Step 5: Solve for x
    x = 34,545,891.02/5,803.38
  6. Step 6: Final answer
    x = 5,952.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.