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Finding the Fourth Proportional to 5,801.63, 8,702.64 and 1,906.34

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Solution

The fourth proportional to 5,801.63, 8,702.64 and 1,906.34 is: 2,859.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,801.63 : 8,702.64 = 1,906.34 : x
  2. Step 2: Convert to fraction form
    5,801.63/8,702.64 = 1,906.34/x
  3. Step 3: Cross multiply
    5,801.63x = 8,702.64 × 1,906.34
  4. Step 4: Simplify right side
    5,801.63x = 16,590,147.22
  5. Step 5: Solve for x
    x = 16,590,147.22/5,801.63
  6. Step 6: Final answer
    x = 2,859.57

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1.5x scale

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.