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Finding the Fourth Proportional to 4,705.94, 7,063.51 and 2,242.46

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Solution

The fourth proportional to 4,705.94, 7,063.51 and 2,242.46 is: 3,365.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.94 : 7,063.51 = 2,242.46 : x
  2. Step 2: Convert to fraction form
    4,705.94/7,063.51 = 2,242.46/x
  3. Step 3: Cross multiply
    4,705.94x = 7,063.51 × 2,242.46
  4. Step 4: Simplify right side
    4,705.94x = 15,839,638.63
  5. Step 5: Solve for x
    x = 15,839,638.63/4,705.94
  6. Step 6: Final answer
    x = 3,365.88

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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.