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Finding the Fourth Proportional to 3,500.68, 4,831.14 and 1,928.80

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Solution

The fourth proportional to 3,500.68, 4,831.14 and 1,928.80 is: 2,661.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,500.68 : 4,831.14 = 1,928.80 : x
  2. Step 2: Convert to fraction form
    3,500.68/4,831.14 = 1,928.80/x
  3. Step 3: Cross multiply
    3,500.68x = 4,831.14 × 1,928.80
  4. Step 4: Simplify right side
    3,500.68x = 9,318,302.83
  5. Step 5: Solve for x
    x = 9,318,302.83/3,500.68
  6. Step 6: Final answer
    x = 2,661.86

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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.