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Finding the Fourth Proportional to 5,844.69, 8,066.39 and 3,486.78

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Solution

The fourth proportional to 5,844.69, 8,066.39 and 3,486.78 is: 4,812.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,844.69 : 8,066.39 = 3,486.78 : x
  2. Step 2: Convert to fraction form
    5,844.69/8,066.39 = 3,486.78/x
  3. Step 3: Cross multiply
    5,844.69x = 8,066.39 × 3,486.78
  4. Step 4: Simplify right side
    5,844.69x = 28,125,709.89
  5. Step 5: Solve for x
    x = 28,125,709.89/5,844.69
  6. Step 6: Final answer
    x = 4,812.18

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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.