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Finding the Fourth Proportional to 4,139.54, 5,712.56 and 2,276.54

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Solution

The fourth proportional to 4,139.54, 5,712.56 and 2,276.54 is: 3,141.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,139.54 : 5,712.56 = 2,276.54 : x
  2. Step 2: Convert to fraction form
    4,139.54/5,712.56 = 2,276.54/x
  3. Step 3: Cross multiply
    4,139.54x = 5,712.56 × 2,276.54
  4. Step 4: Simplify right side
    4,139.54x = 13,004,831.40
  5. Step 5: Solve for x
    x = 13,004,831.40/4,139.54
  6. Step 6: Final answer
    x = 3,141.62

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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.