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Finding the Fourth Proportional to 5,702.58, 8,552.58 and 1,804.86

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Solution

The fourth proportional to 5,702.58, 8,552.58 and 1,804.86 is: 2,706.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.58 : 8,552.58 = 1,804.86 : x
  2. Step 2: Convert to fraction form
    5,702.58/8,552.58 = 1,804.86/x
  3. Step 3: Cross multiply
    5,702.58x = 8,552.58 × 1,804.86
  4. Step 4: Simplify right side
    5,702.58x = 15,436,209.54
  5. Step 5: Solve for x
    x = 15,436,209.54/5,702.58
  6. Step 6: Final answer
    x = 2,706.88

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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.