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Finding the Fourth Proportional to 5,842.33, 8,062.74 and 3,484.62

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Solution

The fourth proportional to 5,842.33, 8,062.74 and 3,484.62 is: 4,808.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.33 : 8,062.74 = 3,484.62 : x
  2. Step 2: Convert to fraction form
    5,842.33/8,062.74 = 3,484.62/x
  3. Step 3: Cross multiply
    5,842.33x = 8,062.74 × 3,484.62
  4. Step 4: Simplify right side
    5,842.33x = 28,095,585.06
  5. Step 5: Solve for x
    x = 28,095,585.06/5,842.33
  6. Step 6: Final answer
    x = 4,808.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.