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Finding the Fourth Proportional to 5,602.41, 7,727.38 and 4,757.30

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Solution

The fourth proportional to 5,602.41, 7,727.38 and 4,757.30 is: 6,561.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,602.41 : 7,727.38 = 4,757.30 : x
  2. Step 2: Convert to fraction form
    5,602.41/7,727.38 = 4,757.30/x
  3. Step 3: Cross multiply
    5,602.41x = 7,727.38 × 4,757.30
  4. Step 4: Simplify right side
    5,602.41x = 36,761,464.87
  5. Step 5: Solve for x
    x = 36,761,464.87/5,602.41
  6. Step 6: Final answer
    x = 6,561.72

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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.