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Finding the Fourth Proportional to 5,406.20, 8,111.12 and 3,558.20

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Solution

The fourth proportional to 5,406.20, 8,111.12 and 3,558.20 is: 5,338.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.20 : 8,111.12 = 3,558.20 : x
  2. Step 2: Convert to fraction form
    5,406.20/8,111.12 = 3,558.20/x
  3. Step 3: Cross multiply
    5,406.20x = 8,111.12 × 3,558.20
  4. Step 4: Simplify right side
    5,406.20x = 28,860,987.18
  5. Step 5: Solve for x
    x = 28,860,987.18/5,406.20
  6. Step 6: Final answer
    x = 5,338.50

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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.