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Finding the Fourth Proportional to 3,575.96, 4,935.12 and 2,004.20

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Solution

The fourth proportional to 3,575.96, 4,935.12 and 2,004.20 is: 2,765.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,575.96 : 4,935.12 = 2,004.20 : x
  2. Step 2: Convert to fraction form
    3,575.96/4,935.12 = 2,004.20/x
  3. Step 3: Cross multiply
    3,575.96x = 4,935.12 × 2,004.20
  4. Step 4: Simplify right side
    3,575.96x = 9,890,967.50
  5. Step 5: Solve for x
    x = 9,890,967.50/3,575.96
  6. Step 6: Final answer
    x = 2,765.96

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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.