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Finding the Fourth Proportional to 6,264.80, 8,645.34 and 3,470.30

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Solution

The fourth proportional to 6,264.80, 8,645.34 and 3,470.30 is: 4,788.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,264.80 : 8,645.34 = 3,470.30 : x
  2. Step 2: Convert to fraction form
    6,264.80/8,645.34 = 3,470.30/x
  3. Step 3: Cross multiply
    6,264.80x = 8,645.34 × 3,470.30
  4. Step 4: Simplify right side
    6,264.80x = 30,001,923.40
  5. Step 5: Solve for x
    x = 30,001,923.40/6,264.80
  6. Step 6: Final answer
    x = 4,788.97

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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.