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Finding the Fourth Proportional to 3,502.16, 4,832.90 and 2,104.88

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Solution

The fourth proportional to 3,502.16, 4,832.90 and 2,104.88 is: 2,904.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.16 : 4,832.90 = 2,104.88 : x
  2. Step 2: Convert to fraction form
    3,502.16/4,832.90 = 2,104.88/x
  3. Step 3: Cross multiply
    3,502.16x = 4,832.90 × 2,104.88
  4. Step 4: Simplify right side
    3,502.16x = 10,172,674.55
  5. Step 5: Solve for x
    x = 10,172,674.55/3,502.16
  6. Step 6: Final answer
    x = 2,904.69

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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.