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Finding the Fourth Proportional to 3,022.64, 4,561.18 and 2,914.16

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Solution

The fourth proportional to 3,022.64, 4,561.18 and 2,914.16 is: 4,397.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.64 : 4,561.18 = 2,914.16 : x
  2. Step 2: Convert to fraction form
    3,022.64/4,561.18 = 2,914.16/x
  3. Step 3: Cross multiply
    3,022.64x = 4,561.18 × 2,914.16
  4. Step 4: Simplify right side
    3,022.64x = 13,292,008.31
  5. Step 5: Solve for x
    x = 13,292,008.31/3,022.64
  6. Step 6: Final answer
    x = 4,397.48

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.