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Finding the Fourth Proportional to 4,742.56, 6,541.14 and 2,854

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Solution

The fourth proportional to 4,742.56, 6,541.14 and 2,854 is: 3,936.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,742.56 : 6,541.14 = 2,854 : x
  2. Step 2: Convert to fraction form
    4,742.56/6,541.14 = 2,854/x
  3. Step 3: Cross multiply
    4,742.56x = 6,541.14 × 2,854
  4. Step 4: Simplify right side
    4,742.56x = 18,668,413.56
  5. Step 5: Solve for x
    x = 18,668,413.56/4,742.56
  6. Step 6: Final answer
    x = 3,936.36

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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.