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Finding the Fourth Proportional to 3,470.36, 4,785 and 2,805.15

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Solution

The fourth proportional to 3,470.36, 4,785 and 2,805.15 is: 3,867.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.36 : 4,785 = 2,805.15 : x
  2. Step 2: Convert to fraction form
    3,470.36/4,785 = 2,805.15/x
  3. Step 3: Cross multiply
    3,470.36x = 4,785 × 2,805.15
  4. Step 4: Simplify right side
    3,470.36x = 13,422,642.75
  5. Step 5: Solve for x
    x = 13,422,642.75/3,470.36
  6. Step 6: Final answer
    x = 3,867.80

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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.