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Finding the Fourth Proportional to 3,220.92, 4,444.26 and 3,056.88

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Solution

The fourth proportional to 3,220.92, 4,444.26 and 3,056.88 is: 4,217.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220.92 : 4,444.26 = 3,056.88 : x
  2. Step 2: Convert to fraction form
    3,220.92/4,444.26 = 3,056.88/x
  3. Step 3: Cross multiply
    3,220.92x = 4,444.26 × 3,056.88
  4. Step 4: Simplify right side
    3,220.92x = 13,585,569.51
  5. Step 5: Solve for x
    x = 13,585,569.51/3,220.92
  6. Step 6: Final answer
    x = 4,217.92

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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.