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Finding the Fourth Proportional to 5,093.32, 7,630.10 and 3,756.68

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Solution

The fourth proportional to 5,093.32, 7,630.10 and 3,756.68 is: 5,627.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,093.32 : 7,630.10 = 3,756.68 : x
  2. Step 2: Convert to fraction form
    5,093.32/7,630.10 = 3,756.68/x
  3. Step 3: Cross multiply
    5,093.32x = 7,630.10 × 3,756.68
  4. Step 4: Simplify right side
    5,093.32x = 28,663,844.07
  5. Step 5: Solve for x
    x = 28,663,844.07/5,093.32
  6. Step 6: Final answer
    x = 5,627.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.