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Finding the Fourth Proportional to 3,663.05, 5,491.31 and 1,470.29

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Solution

The fourth proportional to 3,663.05, 5,491.31 and 1,470.29 is: 2,204.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.05 : 5,491.31 = 1,470.29 : x
  2. Step 2: Convert to fraction form
    3,663.05/5,491.31 = 1,470.29/x
  3. Step 3: Cross multiply
    3,663.05x = 5,491.31 × 1,470.29
  4. Step 4: Simplify right side
    3,663.05x = 8,073,783.37
  5. Step 5: Solve for x
    x = 8,073,783.37/3,663.05
  6. Step 6: Final answer
    x = 2,204.12

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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.