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Finding the Fourth Proportional to 5,851.78, 8,702.41 and 5,667.22

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Solution

The fourth proportional to 5,851.78, 8,702.41 and 5,667.22 is: 8,427.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,851.78 : 8,702.41 = 5,667.22 : x
  2. Step 2: Convert to fraction form
    5,851.78/8,702.41 = 5,667.22/x
  3. Step 3: Cross multiply
    5,851.78x = 8,702.41 × 5,667.22
  4. Step 4: Simplify right side
    5,851.78x = 49,318,472.00
  5. Step 5: Solve for x
    x = 49,318,472.00/5,851.78
  6. Step 6: Final answer
    x = 8,427.94

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1.5x scale

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.