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Finding the Fourth Proportional to 5,702.10, 8,552.30 and 1,806

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Solution

The fourth proportional to 5,702.10, 8,552.30 and 1,806 is: 2,708.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.10 : 8,552.30 = 1,806 : x
  2. Step 2: Convert to fraction form
    5,702.10/8,552.30 = 1,806/x
  3. Step 3: Cross multiply
    5,702.10x = 8,552.30 × 1,806
  4. Step 4: Simplify right side
    5,702.10x = 15,445,444.77
  5. Step 5: Solve for x
    x = 15,445,444.77/5,702.10
  6. Step 6: Final answer
    x = 2,708.73

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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.