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Finding the Fourth Proportional to 3,502.17, 4,832.64 and 2,009.73

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Solution

The fourth proportional to 3,502.17, 4,832.64 and 2,009.73 is: 2,773.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.17 : 4,832.64 = 2,009.73 : x
  2. Step 2: Convert to fraction form
    3,502.17/4,832.64 = 2,009.73/x
  3. Step 3: Cross multiply
    3,502.17x = 4,832.64 × 2,009.73
  4. Step 4: Simplify right side
    3,502.17x = 9,712,301.59
  5. Step 5: Solve for x
    x = 9,712,301.59/3,502.17
  6. Step 6: Final answer
    x = 2,773.22

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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.