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Finding the Fourth Proportional to 3,470.69, 4,790.96 and 2,353.16

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Solution

The fourth proportional to 3,470.69, 4,790.96 and 2,353.16 is: 3,248.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.69 : 4,790.96 = 2,353.16 : x
  2. Step 2: Convert to fraction form
    3,470.69/4,790.96 = 2,353.16/x
  3. Step 3: Cross multiply
    3,470.69x = 4,790.96 × 2,353.16
  4. Step 4: Simplify right side
    3,470.69x = 11,273,859.71
  5. Step 5: Solve for x
    x = 11,273,859.71/3,470.69
  6. Step 6: Final answer
    x = 3,248.31

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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.