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Finding the Fourth Proportional to 4,943.64, 6,822.22 and 2,705.52

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Solution

The fourth proportional to 4,943.64, 6,822.22 and 2,705.52 is: 3,733.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,943.64 : 6,822.22 = 2,705.52 : x
  2. Step 2: Convert to fraction form
    4,943.64/6,822.22 = 2,705.52/x
  3. Step 3: Cross multiply
    4,943.64x = 6,822.22 × 2,705.52
  4. Step 4: Simplify right side
    4,943.64x = 18,457,652.65
  5. Step 5: Solve for x
    x = 18,457,652.65/4,943.64
  6. Step 6: Final answer
    x = 3,733.62

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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.