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Finding the Fourth Proportional to 3,501.96, 4,832.90 and 2,009.86

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Solution

The fourth proportional to 3,501.96, 4,832.90 and 2,009.86 is: 2,773.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,501.96 : 4,832.90 = 2,009.86 : x
  2. Step 2: Convert to fraction form
    3,501.96/4,832.90 = 2,009.86/x
  3. Step 3: Cross multiply
    3,501.96x = 4,832.90 × 2,009.86
  4. Step 4: Simplify right side
    3,501.96x = 9,713,452.39
  5. Step 5: Solve for x
    x = 9,713,452.39/3,501.96
  6. Step 6: Final answer
    x = 2,773.72

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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.