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Finding the Fourth Proportional to 3,668.04, 5,498.01 and 1,587.69

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Solution

The fourth proportional to 3,668.04, 5,498.01 and 1,587.69 is: 2,379.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.04 : 5,498.01 = 1,587.69 : x
  2. Step 2: Convert to fraction form
    3,668.04/5,498.01 = 1,587.69/x
  3. Step 3: Cross multiply
    3,668.04x = 5,498.01 × 1,587.69
  4. Step 4: Simplify right side
    3,668.04x = 8,729,135.50
  5. Step 5: Solve for x
    x = 8,729,135.50/3,668.04
  6. Step 6: Final answer
    x = 2,379.78

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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.