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Finding the Fourth Proportional to 5,468.02, 7,555.74 and 3,893.38

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Solution

The fourth proportional to 5,468.02, 7,555.74 and 3,893.38 is: 5,379.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.02 : 7,555.74 = 3,893.38 : x
  2. Step 2: Convert to fraction form
    5,468.02/7,555.74 = 3,893.38/x
  3. Step 3: Cross multiply
    5,468.02x = 7,555.74 × 3,893.38
  4. Step 4: Simplify right side
    5,468.02x = 29,417,367.00
  5. Step 5: Solve for x
    x = 29,417,367.00/5,468.02
  6. Step 6: Final answer
    x = 5,379.89

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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.