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Finding the Fourth Proportional to 5,686.85, 7,847.93 and 3,297

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Solution

The fourth proportional to 5,686.85, 7,847.93 and 3,297 is: 4,549.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.85 : 7,847.93 = 3,297 : x
  2. Step 2: Convert to fraction form
    5,686.85/7,847.93 = 3,297/x
  3. Step 3: Cross multiply
    5,686.85x = 7,847.93 × 3,297
  4. Step 4: Simplify right side
    5,686.85x = 25,874,608.73
  5. Step 5: Solve for x
    x = 25,874,608.73/5,686.85
  6. Step 6: Final answer
    x = 4,549.91

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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.