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Finding the Fourth Proportional to 5,533.68, 7,636.50 and 3,175.77

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Solution

The fourth proportional to 5,533.68, 7,636.50 and 3,175.77 is: 4,382.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,533.68 : 7,636.50 = 3,175.77 : x
  2. Step 2: Convert to fraction form
    5,533.68/7,636.50 = 3,175.77/x
  3. Step 3: Cross multiply
    5,533.68x = 7,636.50 × 3,175.77
  4. Step 4: Simplify right side
    5,533.68x = 24,251,767.61
  5. Step 5: Solve for x
    x = 24,251,767.61/5,533.68
  6. Step 6: Final answer
    x = 4,382.57

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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.