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Finding the Fourth Proportional to 3,688.68, 5,536.26 and 2,391.60

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Solution

The fourth proportional to 3,688.68, 5,536.26 and 2,391.60 is: 3,589.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,688.68 : 5,536.26 = 2,391.60 : x
  2. Step 2: Convert to fraction form
    3,688.68/5,536.26 = 2,391.60/x
  3. Step 3: Cross multiply
    3,688.68x = 5,536.26 × 2,391.60
  4. Step 4: Simplify right side
    3,688.68x = 13,240,519.42
  5. Step 5: Solve for x
    x = 13,240,519.42/3,688.68
  6. Step 6: Final answer
    x = 3,589.50

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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.