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Finding the Fourth Proportional to 5,702.33, 7,866.11 and 4,641.23

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Solution

The fourth proportional to 5,702.33, 7,866.11 and 4,641.23 is: 6,402.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.33 : 7,866.11 = 4,641.23 : x
  2. Step 2: Convert to fraction form
    5,702.33/7,866.11 = 4,641.23/x
  3. Step 3: Cross multiply
    5,702.33x = 7,866.11 × 4,641.23
  4. Step 4: Simplify right side
    5,702.33x = 36,508,456.98
  5. Step 5: Solve for x
    x = 36,508,456.98/5,702.33
  6. Step 6: Final answer
    x = 6,402.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.