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Finding the Fourth Proportional to 5,791.54, 8,686.62 and 1,631.86

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Solution

The fourth proportional to 5,791.54, 8,686.62 and 1,631.86 is: 2,447.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,791.54 : 8,686.62 = 1,631.86 : x
  2. Step 2: Convert to fraction form
    5,791.54/8,686.62 = 1,631.86/x
  3. Step 3: Cross multiply
    5,791.54x = 8,686.62 × 1,631.86
  4. Step 4: Simplify right side
    5,791.54x = 14,175,347.71
  5. Step 5: Solve for x
    x = 14,175,347.71/5,791.54
  6. Step 6: Final answer
    x = 2,447.60

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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.