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Finding the Fourth Proportional to 5,360.92, 8,041.42 and 1,663.08

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Solution

The fourth proportional to 5,360.92, 8,041.42 and 1,663.08 is: 2,494.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,360.92 : 8,041.42 = 1,663.08 : x
  2. Step 2: Convert to fraction form
    5,360.92/8,041.42 = 1,663.08/x
  3. Step 3: Cross multiply
    5,360.92x = 8,041.42 × 1,663.08
  4. Step 4: Simplify right side
    5,360.92x = 13,373,524.77
  5. Step 5: Solve for x
    x = 13,373,524.77/5,360.92
  6. Step 6: Final answer
    x = 2,494.63

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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.