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Finding the Fourth Proportional to 5,359.66, 7,398.42 and 3,263.38

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Solution

The fourth proportional to 5,359.66, 7,398.42 and 3,263.38 is: 4,504.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,359.66 : 7,398.42 = 3,263.38 : x
  2. Step 2: Convert to fraction form
    5,359.66/7,398.42 = 3,263.38/x
  3. Step 3: Cross multiply
    5,359.66x = 7,398.42 × 3,263.38
  4. Step 4: Simplify right side
    5,359.66x = 24,143,855.86
  5. Step 5: Solve for x
    x = 24,143,855.86/5,359.66
  6. Step 6: Final answer
    x = 4,504.74

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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.