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Finding the Fourth Proportional to 3,486.24, 4,806.54 and 2,854.44

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Solution

The fourth proportional to 3,486.24, 4,806.54 and 2,854.44 is: 3,935.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.24 : 4,806.54 = 2,854.44 : x
  2. Step 2: Convert to fraction form
    3,486.24/4,806.54 = 2,854.44/x
  3. Step 3: Cross multiply
    3,486.24x = 4,806.54 × 2,854.44
  4. Step 4: Simplify right side
    3,486.24x = 13,719,980.04
  5. Step 5: Solve for x
    x = 13,719,980.04/3,486.24
  6. Step 6: Final answer
    x = 3,935.47

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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.