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Finding the Fourth Proportional to 4,706.29, 7,060.34 and 2,242.27

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Solution

The fourth proportional to 4,706.29, 7,060.34 and 2,242.27 is: 3,363.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.29 : 7,060.34 = 2,242.27 : x
  2. Step 2: Convert to fraction form
    4,706.29/7,060.34 = 2,242.27/x
  3. Step 3: Cross multiply
    4,706.29x = 7,060.34 × 2,242.27
  4. Step 4: Simplify right side
    4,706.29x = 15,831,188.57
  5. Step 5: Solve for x
    x = 15,831,188.57/4,706.29
  6. Step 6: Final answer
    x = 3,363.84

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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.