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Finding the Fourth Proportional to 5,836.19, 8,053.71 and 3,446.94

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Solution

The fourth proportional to 5,836.19, 8,053.71 and 3,446.94 is: 4,756.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836.19 : 8,053.71 = 3,446.94 : x
  2. Step 2: Convert to fraction form
    5,836.19/8,053.71 = 3,446.94/x
  3. Step 3: Cross multiply
    5,836.19x = 8,053.71 × 3,446.94
  4. Step 4: Simplify right side
    5,836.19x = 27,760,648.72
  5. Step 5: Solve for x
    x = 27,760,648.72/5,836.19
  6. Step 6: Final answer
    x = 4,756.64

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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.