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Finding the Fourth Proportional to 4,661.97, 6,434.01 and 2,673.16

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Solution

The fourth proportional to 4,661.97, 6,434.01 and 2,673.16 is: 3,689.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.97 : 6,434.01 = 2,673.16 : x
  2. Step 2: Convert to fraction form
    4,661.97/6,434.01 = 2,673.16/x
  3. Step 3: Cross multiply
    4,661.97x = 6,434.01 × 2,673.16
  4. Step 4: Simplify right side
    4,661.97x = 17,199,138.17
  5. Step 5: Solve for x
    x = 17,199,138.17/4,661.97
  6. Step 6: Final answer
    x = 3,689.24

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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.