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Finding the Fourth Proportional to 5,416.88, 8,113.98 and 3,459.12

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Solution

The fourth proportional to 5,416.88, 8,113.98 and 3,459.12 is: 5,181.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,416.88 : 8,113.98 = 3,459.12 : x
  2. Step 2: Convert to fraction form
    5,416.88/8,113.98 = 3,459.12/x
  3. Step 3: Cross multiply
    5,416.88x = 8,113.98 × 3,459.12
  4. Step 4: Simplify right side
    5,416.88x = 28,067,230.50
  5. Step 5: Solve for x
    x = 28,067,230.50/5,416.88
  6. Step 6: Final answer
    x = 5,181.44

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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.