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Finding the Fourth Proportional to 4,470.10, 6,696.24 and 3,491.62

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Solution

The fourth proportional to 4,470.10, 6,696.24 and 3,491.62 is: 5,230.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,470.10 : 6,696.24 = 3,491.62 : x
  2. Step 2: Convert to fraction form
    4,470.10/6,696.24 = 3,491.62/x
  3. Step 3: Cross multiply
    4,470.10x = 6,696.24 × 3,491.62
  4. Step 4: Simplify right side
    4,470.10x = 23,380,725.51
  5. Step 5: Solve for x
    x = 23,380,725.51/4,470.10
  6. Step 6: Final answer
    x = 5,230.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.