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Finding the Fourth Proportional to 5,714.46, 8,570.49 and 1,609.50

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Solution

The fourth proportional to 5,714.46, 8,570.49 and 1,609.50 is: 2,413.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.46 : 8,570.49 = 1,609.50 : x
  2. Step 2: Convert to fraction form
    5,714.46/8,570.49 = 1,609.50/x
  3. Step 3: Cross multiply
    5,714.46x = 8,570.49 × 1,609.50
  4. Step 4: Simplify right side
    5,714.46x = 13,794,203.66
  5. Step 5: Solve for x
    x = 13,794,203.66/5,714.46
  6. Step 6: Final answer
    x = 2,413.91

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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.