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Finding the Fourth Proportional to 5,836.40, 8,055.27 and 3,478.69

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Solution

The fourth proportional to 5,836.40, 8,055.27 and 3,478.69 is: 4,801.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836.40 : 8,055.27 = 3,478.69 : x
  2. Step 2: Convert to fraction form
    5,836.40/8,055.27 = 3,478.69/x
  3. Step 3: Cross multiply
    5,836.40x = 8,055.27 × 3,478.69
  4. Step 4: Simplify right side
    5,836.40x = 28,021,767.06
  5. Step 5: Solve for x
    x = 28,021,767.06/5,836.40
  6. Step 6: Final answer
    x = 4,801.21

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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.