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Finding the Fourth Proportional to 3,500.14, 4,830.16 and 1,928.20

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Solution

The fourth proportional to 3,500.14, 4,830.16 and 1,928.20 is: 2,660.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,500.14 : 4,830.16 = 1,928.20 : x
  2. Step 2: Convert to fraction form
    3,500.14/4,830.16 = 1,928.20/x
  3. Step 3: Cross multiply
    3,500.14x = 4,830.16 × 1,928.20
  4. Step 4: Simplify right side
    3,500.14x = 9,313,514.51
  5. Step 5: Solve for x
    x = 9,313,514.51/3,500.14
  6. Step 6: Final answer
    x = 2,660.90

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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.