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Finding the Fourth Proportional to 3,792.66, 5,690.10 and 2,293.34

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Solution

The fourth proportional to 3,792.66, 5,690.10 and 2,293.34 is: 3,440.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.66 : 5,690.10 = 2,293.34 : x
  2. Step 2: Convert to fraction form
    3,792.66/5,690.10 = 2,293.34/x
  3. Step 3: Cross multiply
    3,792.66x = 5,690.10 × 2,293.34
  4. Step 4: Simplify right side
    3,792.66x = 13,049,333.93
  5. Step 5: Solve for x
    x = 13,049,333.93/3,792.66
  6. Step 6: Final answer
    x = 3,440.68

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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.