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Finding the Fourth Proportional to 5,581.08, 7,701.31 and 3,223.98

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Solution

The fourth proportional to 5,581.08, 7,701.31 and 3,223.98 is: 4,448.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,581.08 : 7,701.31 = 3,223.98 : x
  2. Step 2: Convert to fraction form
    5,581.08/7,701.31 = 3,223.98/x
  3. Step 3: Cross multiply
    5,581.08x = 7,701.31 × 3,223.98
  4. Step 4: Simplify right side
    5,581.08x = 24,828,869.41
  5. Step 5: Solve for x
    x = 24,828,869.41/5,581.08
  6. Step 6: Final answer
    x = 4,448.76

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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.