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Finding the Fourth Proportional to 3,753.93, 5,632.47 and 1,672.50

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Solution

The fourth proportional to 3,753.93, 5,632.47 and 1,672.50 is: 2,509.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.93 : 5,632.47 = 1,672.50 : x
  2. Step 2: Convert to fraction form
    3,753.93/5,632.47 = 1,672.50/x
  3. Step 3: Cross multiply
    3,753.93x = 5,632.47 × 1,672.50
  4. Step 4: Simplify right side
    3,753.93x = 9,420,306.08
  5. Step 5: Solve for x
    x = 9,420,306.08/3,753.93
  6. Step 6: Final answer
    x = 2,509.45

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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.