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Finding the Fourth Proportional to 5,362.90, 8,041.46 and 1,663.54

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Solution

The fourth proportional to 5,362.90, 8,041.46 and 1,663.54 is: 2,494.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,362.90 : 8,041.46 = 1,663.54 : x
  2. Step 2: Convert to fraction form
    5,362.90/8,041.46 = 1,663.54/x
  3. Step 3: Cross multiply
    5,362.90x = 8,041.46 × 1,663.54
  4. Step 4: Simplify right side
    5,362.90x = 13,377,290.37
  5. Step 5: Solve for x
    x = 13,377,290.37/5,362.90
  6. Step 6: Final answer
    x = 2,494.41

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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.