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Finding the Fourth Proportional to 5,599.72, 8,388.64 and 4,116.21

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Solution

The fourth proportional to 5,599.72, 8,388.64 and 4,116.21 is: 6,166.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,599.72 : 8,388.64 = 4,116.21 : x
  2. Step 2: Convert to fraction form
    5,599.72/8,388.64 = 4,116.21/x
  3. Step 3: Cross multiply
    5,599.72x = 8,388.64 × 4,116.21
  4. Step 4: Simplify right side
    5,599.72x = 34,529,403.85
  5. Step 5: Solve for x
    x = 34,529,403.85/5,599.72
  6. Step 6: Final answer
    x = 6,166.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.