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Finding the Fourth Proportional to 6,474.96, 8,935.40 and 3,642.33

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Solution

The fourth proportional to 6,474.96, 8,935.40 and 3,642.33 is: 5,026.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.96 : 8,935.40 = 3,642.33 : x
  2. Step 2: Convert to fraction form
    6,474.96/8,935.40 = 3,642.33/x
  3. Step 3: Cross multiply
    6,474.96x = 8,935.40 × 3,642.33
  4. Step 4: Simplify right side
    6,474.96x = 32,545,657.27
  5. Step 5: Solve for x
    x = 32,545,657.27/6,474.96
  6. Step 6: Final answer
    x = 5,026.39

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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.