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Finding the Fourth Proportional to 3,500.20, 4,830.22 and 1,928.32

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Solution

The fourth proportional to 3,500.20, 4,830.22 and 1,928.32 is: 2,661.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,500.20 : 4,830.22 = 1,928.32 : x
  2. Step 2: Convert to fraction form
    3,500.20/4,830.22 = 1,928.32/x
  3. Step 3: Cross multiply
    3,500.20x = 4,830.22 × 1,928.32
  4. Step 4: Simplify right side
    3,500.20x = 9,314,209.83
  5. Step 5: Solve for x
    x = 9,314,209.83/3,500.20
  6. Step 6: Final answer
    x = 2,661.05

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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.