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Finding the Fourth Proportional to 5,651.52, 7,800.33 and 3,134.50

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Solution

The fourth proportional to 5,651.52, 7,800.33 and 3,134.50 is: 4,326.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,651.52 : 7,800.33 = 3,134.50 : x
  2. Step 2: Convert to fraction form
    5,651.52/7,800.33 = 3,134.50/x
  3. Step 3: Cross multiply
    5,651.52x = 7,800.33 × 3,134.50
  4. Step 4: Simplify right side
    5,651.52x = 24,450,134.79
  5. Step 5: Solve for x
    x = 24,450,134.79/5,651.52
  6. Step 6: Final answer
    x = 4,326.30

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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.