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Finding the Fourth Proportional to 3,502.03, 4,832.67 and 2,009.86

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Solution

The fourth proportional to 3,502.03, 4,832.67 and 2,009.86 is: 2,773.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.03 : 4,832.67 = 2,009.86 : x
  2. Step 2: Convert to fraction form
    3,502.03/4,832.67 = 2,009.86/x
  3. Step 3: Cross multiply
    3,502.03x = 4,832.67 × 2,009.86
  4. Step 4: Simplify right side
    3,502.03x = 9,712,990.13
  5. Step 5: Solve for x
    x = 9,712,990.13/3,502.03
  6. Step 6: Final answer
    x = 2,773.53

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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.