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Finding the Fourth Proportional to 5,842.61, 8,071.33 and 5,055.29

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Solution

The fourth proportional to 5,842.61, 8,071.33 and 5,055.29 is: 6,983.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.61 : 8,071.33 = 5,055.29 : x
  2. Step 2: Convert to fraction form
    5,842.61/8,071.33 = 5,055.29/x
  3. Step 3: Cross multiply
    5,842.61x = 8,071.33 × 5,055.29
  4. Step 4: Simplify right side
    5,842.61x = 40,802,900.59
  5. Step 5: Solve for x
    x = 40,802,900.59/5,842.61
  6. Step 6: Final answer
    x = 6,983.68

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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.