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Finding the Fourth Proportional to 5,071.59, 6,999.66 and 3,083.49

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Solution

The fourth proportional to 5,071.59, 6,999.66 and 3,083.49 is: 4,255.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071.59 : 6,999.66 = 3,083.49 : x
  2. Step 2: Convert to fraction form
    5,071.59/6,999.66 = 3,083.49/x
  3. Step 3: Cross multiply
    5,071.59x = 6,999.66 × 3,083.49
  4. Step 4: Simplify right side
    5,071.59x = 21,583,381.61
  5. Step 5: Solve for x
    x = 21,583,381.61/5,071.59
  6. Step 6: Final answer
    x = 4,255.74

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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.