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Finding the Fourth Proportional to 4,706.68, 7,062.06 and 2,241.48

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Solution

The fourth proportional to 4,706.68, 7,062.06 and 2,241.48 is: 3,363.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.68 : 7,062.06 = 2,241.48 : x
  2. Step 2: Convert to fraction form
    4,706.68/7,062.06 = 2,241.48/x
  3. Step 3: Cross multiply
    4,706.68x = 7,062.06 × 2,241.48
  4. Step 4: Simplify right side
    4,706.68x = 15,829,466.25
  5. Step 5: Solve for x
    x = 15,829,466.25/4,706.68
  6. Step 6: Final answer
    x = 3,363.19

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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.