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Finding the Fourth Proportional to 3,687.76, 5,525.87 and 2,316.88

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Solution

The fourth proportional to 3,687.76, 5,525.87 and 2,316.88 is: 3,471.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.76 : 5,525.87 = 2,316.88 : x
  2. Step 2: Convert to fraction form
    3,687.76/5,525.87 = 2,316.88/x
  3. Step 3: Cross multiply
    3,687.76x = 5,525.87 × 2,316.88
  4. Step 4: Simplify right side
    3,687.76x = 12,802,750.06
  5. Step 5: Solve for x
    x = 12,802,750.06/3,687.76
  6. Step 6: Final answer
    x = 3,471.69

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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.