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Finding the Fourth Proportional to 5,496.48, 8,245.52 and 1,600.40

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Solution

The fourth proportional to 5,496.48, 8,245.52 and 1,600.40 is: 2,400.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,496.48 : 8,245.52 = 1,600.40 : x
  2. Step 2: Convert to fraction form
    5,496.48/8,245.52 = 1,600.40/x
  3. Step 3: Cross multiply
    5,496.48x = 8,245.52 × 1,600.40
  4. Step 4: Simplify right side
    5,496.48x = 13,196,130.21
  5. Step 5: Solve for x
    x = 13,196,130.21/5,496.48
  6. Step 6: Final answer
    x = 2,400.83

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1.5x scale

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.