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Finding the Fourth Proportional to 5,801.55, 8,702.63 and 1,641.86

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Solution

The fourth proportional to 5,801.55, 8,702.63 and 1,641.86 is: 2,462.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,801.55 : 8,702.63 = 1,641.86 : x
  2. Step 2: Convert to fraction form
    5,801.55/8,702.63 = 1,641.86/x
  3. Step 3: Cross multiply
    5,801.55x = 8,702.63 × 1,641.86
  4. Step 4: Simplify right side
    5,801.55x = 14,288,448.37
  5. Step 5: Solve for x
    x = 14,288,448.37/5,801.55
  6. Step 6: Final answer
    x = 2,462.87

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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.