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Finding the Fourth Proportional to 4,205, 5,792.42 and 3,932.84

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Solution

The fourth proportional to 4,205, 5,792.42 and 3,932.84 is: 5,417.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205 : 5,792.42 = 3,932.84 : x
  2. Step 2: Convert to fraction form
    4,205/5,792.42 = 3,932.84/x
  3. Step 3: Cross multiply
    4,205x = 5,792.42 × 3,932.84
  4. Step 4: Simplify right side
    4,205x = 22,780,661.07
  5. Step 5: Solve for x
    x = 22,780,661.07/4,205
  6. Step 6: Final answer
    x = 5,417.52

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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.