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Finding the Fourth Proportional to 3,648.96, 5,493.60 and 2,502.24

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Solution

The fourth proportional to 3,648.96, 5,493.60 and 2,502.24 is: 3,767.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.96 : 5,493.60 = 2,502.24 : x
  2. Step 2: Convert to fraction form
    3,648.96/5,493.60 = 2,502.24/x
  3. Step 3: Cross multiply
    3,648.96x = 5,493.60 × 2,502.24
  4. Step 4: Simplify right side
    3,648.96x = 13,746,305.66
  5. Step 5: Solve for x
    x = 13,746,305.66/3,648.96
  6. Step 6: Final answer
    x = 3,767.18

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.