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Finding the Fourth Proportional to 5,606.65, 7,733.94 and 3,367.21

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Solution

The fourth proportional to 5,606.65, 7,733.94 and 3,367.21 is: 4,644.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,606.65 : 7,733.94 = 3,367.21 : x
  2. Step 2: Convert to fraction form
    5,606.65/7,733.94 = 3,367.21/x
  3. Step 3: Cross multiply
    5,606.65x = 7,733.94 × 3,367.21
  4. Step 4: Simplify right side
    5,606.65x = 26,041,800.11
  5. Step 5: Solve for x
    x = 26,041,800.11/5,606.65
  6. Step 6: Final answer
    x = 4,644.81

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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.