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Finding the Fourth Proportional to 5,687.57, 7,848.60 and 4,194.94

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Solution

The fourth proportional to 5,687.57, 7,848.60 and 4,194.94 is: 5,788.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.57 : 7,848.60 = 4,194.94 : x
  2. Step 2: Convert to fraction form
    5,687.57/7,848.60 = 4,194.94/x
  3. Step 3: Cross multiply
    5,687.57x = 7,848.60 × 4,194.94
  4. Step 4: Simplify right side
    5,687.57x = 32,924,385.45
  5. Step 5: Solve for x
    x = 32,924,385.45/5,687.57
  6. Step 6: Final answer
    x = 5,788.83

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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.