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Finding the Fourth Proportional to 5,869.07, 8,099.69 and 3,876.13

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Solution

The fourth proportional to 5,869.07, 8,099.69 and 3,876.13 is: 5,349.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,869.07 : 8,099.69 = 3,876.13 : x
  2. Step 2: Convert to fraction form
    5,869.07/8,099.69 = 3,876.13/x
  3. Step 3: Cross multiply
    5,869.07x = 8,099.69 × 3,876.13
  4. Step 4: Simplify right side
    5,869.07x = 31,395,411.77
  5. Step 5: Solve for x
    x = 31,395,411.77/5,869.07
  6. Step 6: Final answer
    x = 5,349.30

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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.