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Finding the Fourth Proportional to 3,470.66, 4,789.14 and 2,054.40

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Solution

The fourth proportional to 3,470.66, 4,789.14 and 2,054.40 is: 2,834.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.66 : 4,789.14 = 2,054.40 : x
  2. Step 2: Convert to fraction form
    3,470.66/4,789.14 = 2,054.40/x
  3. Step 3: Cross multiply
    3,470.66x = 4,789.14 × 2,054.40
  4. Step 4: Simplify right side
    3,470.66x = 9,838,809.22
  5. Step 5: Solve for x
    x = 9,838,809.22/3,470.66
  6. Step 6: Final answer
    x = 2,834.85

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Why These Related Problems?

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