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Finding the Fourth Proportional to 5,851.89, 8,702.60 and 5,667.35

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Solution

The fourth proportional to 5,851.89, 8,702.60 and 5,667.35 is: 8,428.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,851.89 : 8,702.60 = 5,667.35 : x
  2. Step 2: Convert to fraction form
    5,851.89/8,702.60 = 5,667.35/x
  3. Step 3: Cross multiply
    5,851.89x = 8,702.60 × 5,667.35
  4. Step 4: Simplify right side
    5,851.89x = 49,320,608.26
  5. Step 5: Solve for x
    x = 49,320,608.26/5,851.89
  6. Step 6: Final answer
    x = 8,428.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.