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Finding the Fourth Proportional to 5,620.72, 7,756.49 and 3,102.91

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Solution

The fourth proportional to 5,620.72, 7,756.49 and 3,102.91 is: 4,281.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,620.72 : 7,756.49 = 3,102.91 : x
  2. Step 2: Convert to fraction form
    5,620.72/7,756.49 = 3,102.91/x
  3. Step 3: Cross multiply
    5,620.72x = 7,756.49 × 3,102.91
  4. Step 4: Simplify right side
    5,620.72x = 24,067,682.63
  5. Step 5: Solve for x
    x = 24,067,682.63/5,620.72
  6. Step 6: Final answer
    x = 4,281.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.