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Finding the Fourth Proportional to 5,877.80, 8,111.55 and 3,225.39

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Solution

The fourth proportional to 5,877.80, 8,111.55 and 3,225.39 is: 4,451.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877.80 : 8,111.55 = 3,225.39 : x
  2. Step 2: Convert to fraction form
    5,877.80/8,111.55 = 3,225.39/x
  3. Step 3: Cross multiply
    5,877.80x = 8,111.55 × 3,225.39
  4. Step 4: Simplify right side
    5,877.80x = 26,162,912.25
  5. Step 5: Solve for x
    x = 26,162,912.25/5,877.80
  6. Step 6: Final answer
    x = 4,451.14

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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.