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Finding the Fourth Proportional to 3,923.84, 5,416 and 2,268.16

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Solution

The fourth proportional to 3,923.84, 5,416 and 2,268.16 is: 3,130.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,923.84 : 5,416 = 2,268.16 : x
  2. Step 2: Convert to fraction form
    3,923.84/5,416 = 2,268.16/x
  3. Step 3: Cross multiply
    3,923.84x = 5,416 × 2,268.16
  4. Step 4: Simplify right side
    3,923.84x = 12,284,354.56
  5. Step 5: Solve for x
    x = 12,284,354.56/3,923.84
  6. Step 6: Final answer
    x = 3,130.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.