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Finding the Fourth Proportional to 5,599.50, 8,378.75 and 5,299.10

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Solution

The fourth proportional to 5,599.50, 8,378.75 and 5,299.10 is: 7,929.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,599.50 : 8,378.75 = 5,299.10 : x
  2. Step 2: Convert to fraction form
    5,599.50/8,378.75 = 5,299.10/x
  3. Step 3: Cross multiply
    5,599.50x = 8,378.75 × 5,299.10
  4. Step 4: Simplify right side
    5,599.50x = 44,399,765.74
  5. Step 5: Solve for x
    x = 44,399,765.74/5,599.50
  6. Step 6: Final answer
    x = 7,929.24

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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.