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Finding the Fourth Proportional to 3,886.80, 5,831.68 and 1,423.31

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Solution

The fourth proportional to 3,886.80, 5,831.68 and 1,423.31 is: 2,135.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.80 : 5,831.68 = 1,423.31 : x
  2. Step 2: Convert to fraction form
    3,886.80/5,831.68 = 1,423.31/x
  3. Step 3: Cross multiply
    3,886.80x = 5,831.68 × 1,423.31
  4. Step 4: Simplify right side
    3,886.80x = 8,300,288.46
  5. Step 5: Solve for x
    x = 8,300,288.46/3,886.80
  6. Step 6: Final answer
    x = 2,135.51

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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.