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Finding the Fourth Proportional to 5,836.31, 8,044.58 and 4,064.84

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Solution

The fourth proportional to 5,836.31, 8,044.58 and 4,064.84 is: 5,602.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836.31 : 8,044.58 = 4,064.84 : x
  2. Step 2: Convert to fraction form
    5,836.31/8,044.58 = 4,064.84/x
  3. Step 3: Cross multiply
    5,836.31x = 8,044.58 × 4,064.84
  4. Step 4: Simplify right side
    5,836.31x = 32,699,930.57
  5. Step 5: Solve for x
    x = 32,699,930.57/5,836.31
  6. Step 6: Final answer
    x = 5,602.84

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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.