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Finding the Fourth Proportional to 3,864.84, 5,326.32 and 2,745.84

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Solution

The fourth proportional to 3,864.84, 5,326.32 and 2,745.84 is: 3,784.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.84 : 5,326.32 = 2,745.84 : x
  2. Step 2: Convert to fraction form
    3,864.84/5,326.32 = 2,745.84/x
  3. Step 3: Cross multiply
    3,864.84x = 5,326.32 × 2,745.84
  4. Step 4: Simplify right side
    3,864.84x = 14,625,222.51
  5. Step 5: Solve for x
    x = 14,625,222.51/3,864.84
  6. Step 6: Final answer
    x = 3,784.17

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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.