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Finding the Fourth Proportional to 3,470.35, 4,789.10 and 1,898.47

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Solution

The fourth proportional to 3,470.35, 4,789.10 and 1,898.47 is: 2,619.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.35 : 4,789.10 = 1,898.47 : x
  2. Step 2: Convert to fraction form
    3,470.35/4,789.10 = 1,898.47/x
  3. Step 3: Cross multiply
    3,470.35x = 4,789.10 × 1,898.47
  4. Step 4: Simplify right side
    3,470.35x = 9,091,962.68
  5. Step 5: Solve for x
    x = 9,091,962.68/3,470.35
  6. Step 6: Final answer
    x = 2,619.90

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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.