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Finding the Fourth Proportional to 3,219.08, 4,828.06 and 909.96

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Solution

The fourth proportional to 3,219.08, 4,828.06 and 909.96 is: 1,364.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219.08 : 4,828.06 = 909.96 : x
  2. Step 2: Convert to fraction form
    3,219.08/4,828.06 = 909.96/x
  3. Step 3: Cross multiply
    3,219.08x = 4,828.06 × 909.96
  4. Step 4: Simplify right side
    3,219.08x = 4,393,341.48
  5. Step 5: Solve for x
    x = 4,393,341.48/3,219.08
  6. Step 6: Final answer
    x = 1,364.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.