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Finding the Fourth Proportional to 5,496.42, 8,244.99 and 1,600.50

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Solution

The fourth proportional to 5,496.42, 8,244.99 and 1,600.50 is: 2,400.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,496.42 : 8,244.99 = 1,600.50 : x
  2. Step 2: Convert to fraction form
    5,496.42/8,244.99 = 1,600.50/x
  3. Step 3: Cross multiply
    5,496.42x = 8,244.99 × 1,600.50
  4. Step 4: Simplify right side
    5,496.42x = 13,196,106.50
  5. Step 5: Solve for x
    x = 13,196,106.50/5,496.42
  6. Step 6: Final answer
    x = 2,400.85

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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.