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Finding the Fourth Proportional to 5,687.60, 8,536.80 and 4,866.80

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Solution

The fourth proportional to 5,687.60, 8,536.80 and 4,866.80 is: 7,304.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.60 : 8,536.80 = 4,866.80 : x
  2. Step 2: Convert to fraction form
    5,687.60/8,536.80 = 4,866.80/x
  3. Step 3: Cross multiply
    5,687.60x = 8,536.80 × 4,866.80
  4. Step 4: Simplify right side
    5,687.60x = 41,546,898.24
  5. Step 5: Solve for x
    x = 41,546,898.24/5,687.60
  6. Step 6: Final answer
    x = 7,304.82

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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.