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Finding the Fourth Proportional to 3,470.47, 4,790.81 and 2,213.21

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Solution

The fourth proportional to 3,470.47, 4,790.81 and 2,213.21 is: 3,055.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.47 : 4,790.81 = 2,213.21 : x
  2. Step 2: Convert to fraction form
    3,470.47/4,790.81 = 2,213.21/x
  3. Step 3: Cross multiply
    3,470.47x = 4,790.81 × 2,213.21
  4. Step 4: Simplify right side
    3,470.47x = 10,603,068.60
  5. Step 5: Solve for x
    x = 10,603,068.60/3,470.47
  6. Step 6: Final answer
    x = 3,055.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.