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Finding the Fourth Proportional to 5,358.90, 8,035.46 and 1,659.54

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Solution

The fourth proportional to 5,358.90, 8,035.46 and 1,659.54 is: 2,488.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,358.90 : 8,035.46 = 1,659.54 : x
  2. Step 2: Convert to fraction form
    5,358.90/8,035.46 = 1,659.54/x
  3. Step 3: Cross multiply
    5,358.90x = 8,035.46 × 1,659.54
  4. Step 4: Simplify right side
    5,358.90x = 13,335,167.29
  5. Step 5: Solve for x
    x = 13,335,167.29/5,358.90
  6. Step 6: Final answer
    x = 2,488.42

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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.