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Finding the Fourth Proportional to 3,662.18, 5,494.29 and 1,472.45

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Solution

The fourth proportional to 3,662.18, 5,494.29 and 1,472.45 is: 2,209.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.18 : 5,494.29 = 1,472.45 : x
  2. Step 2: Convert to fraction form
    3,662.18/5,494.29 = 1,472.45/x
  3. Step 3: Cross multiply
    3,662.18x = 5,494.29 × 1,472.45
  4. Step 4: Simplify right side
    3,662.18x = 8,090,039.84
  5. Step 5: Solve for x
    x = 8,090,039.84/3,662.18
  6. Step 6: Final answer
    x = 2,209.08

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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.