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Finding the Fourth Proportional to 2,938.74, 4,392.22 and 2,705.24

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Solution

The fourth proportional to 2,938.74, 4,392.22 and 2,705.24 is: 4,043.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.74 : 4,392.22 = 2,705.24 : x
  2. Step 2: Convert to fraction form
    2,938.74/4,392.22 = 2,705.24/x
  3. Step 3: Cross multiply
    2,938.74x = 4,392.22 × 2,705.24
  4. Step 4: Simplify right side
    2,938.74x = 11,882,009.23
  5. Step 5: Solve for x
    x = 11,882,009.23/2,938.74
  6. Step 6: Final answer
    x = 4,043.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.