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Finding the Fourth Proportional to 3,765.92, 5,196.93 and 2,254.51

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Solution

The fourth proportional to 3,765.92, 5,196.93 and 2,254.51 is: 3,111.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.92 : 5,196.93 = 2,254.51 : x
  2. Step 2: Convert to fraction form
    3,765.92/5,196.93 = 2,254.51/x
  3. Step 3: Cross multiply
    3,765.92x = 5,196.93 × 2,254.51
  4. Step 4: Simplify right side
    3,765.92x = 11,716,504.67
  5. Step 5: Solve for x
    x = 11,716,504.67/3,765.92
  6. Step 6: Final answer
    x = 3,111.19

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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.