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Finding the Fourth Proportional to 5,947.76, 8,924.70 and 2,831.30

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Solution

The fourth proportional to 5,947.76, 8,924.70 and 2,831.30 is: 4,248.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.76 : 8,924.70 = 2,831.30 : x
  2. Step 2: Convert to fraction form
    5,947.76/8,924.70 = 2,831.30/x
  3. Step 3: Cross multiply
    5,947.76x = 8,924.70 × 2,831.30
  4. Step 4: Simplify right side
    5,947.76x = 25,268,503.11
  5. Step 5: Solve for x
    x = 25,268,503.11/5,947.76
  6. Step 6: Final answer
    x = 4,248.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.