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Finding the Fourth Proportional to 4,753.64, 7,130.48 and 2,120.47

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Solution

The fourth proportional to 4,753.64, 7,130.48 and 2,120.47 is: 3,180.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,753.64 : 7,130.48 = 2,120.47 : x
  2. Step 2: Convert to fraction form
    4,753.64/7,130.48 = 2,120.47/x
  3. Step 3: Cross multiply
    4,753.64x = 7,130.48 × 2,120.47
  4. Step 4: Simplify right side
    4,753.64x = 15,119,940.50
  5. Step 5: Solve for x
    x = 15,119,940.50/4,753.64
  6. Step 6: Final answer
    x = 3,180.71

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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.