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Finding the Fourth Proportional to 3,575.43, 5,364.63 and 1,930.05

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Solution

The fourth proportional to 3,575.43, 5,364.63 and 1,930.05 is: 2,895.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,575.43 : 5,364.63 = 1,930.05 : x
  2. Step 2: Convert to fraction form
    3,575.43/5,364.63 = 1,930.05/x
  3. Step 3: Cross multiply
    3,575.43x = 5,364.63 × 1,930.05
  4. Step 4: Simplify right side
    3,575.43x = 10,354,004.13
  5. Step 5: Solve for x
    x = 10,354,004.13/3,575.43
  6. Step 6: Final answer
    x = 2,895.88

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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.