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Finding the Fourth Proportional to 3,470.57, 4,789.15 and 2,054.19

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Solution

The fourth proportional to 3,470.57, 4,789.15 and 2,054.19 is: 2,834.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.57 : 4,789.15 = 2,054.19 : x
  2. Step 2: Convert to fraction form
    3,470.57/4,789.15 = 2,054.19/x
  3. Step 3: Cross multiply
    3,470.57x = 4,789.15 × 2,054.19
  4. Step 4: Simplify right side
    3,470.57x = 9,837,802.23
  5. Step 5: Solve for x
    x = 9,837,802.23/3,470.57
  6. Step 6: Final answer
    x = 2,834.63

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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.