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Finding the Fourth Proportional to 3,792.64, 5,682.70 and 2,328.68

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Solution

The fourth proportional to 3,792.64, 5,682.70 and 2,328.68 is: 3,489.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.64 : 5,682.70 = 2,328.68 : x
  2. Step 2: Convert to fraction form
    3,792.64/5,682.70 = 2,328.68/x
  3. Step 3: Cross multiply
    3,792.64x = 5,682.70 × 2,328.68
  4. Step 4: Simplify right side
    3,792.64x = 13,233,189.84
  5. Step 5: Solve for x
    x = 13,233,189.84/3,792.64
  6. Step 6: Final answer
    x = 3,489.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.