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Finding the Fourth Proportional to 4,862.94, 6,709.29 and 2,874.18

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Solution

The fourth proportional to 4,862.94, 6,709.29 and 2,874.18 is: 3,965.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,862.94 : 6,709.29 = 2,874.18 : x
  2. Step 2: Convert to fraction form
    4,862.94/6,709.29 = 2,874.18/x
  3. Step 3: Cross multiply
    4,862.94x = 6,709.29 × 2,874.18
  4. Step 4: Simplify right side
    4,862.94x = 19,283,707.13
  5. Step 5: Solve for x
    x = 19,283,707.13/4,862.94
  6. Step 6: Final answer
    x = 3,965.44

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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.