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Finding the Fourth Proportional to 5,869.36, 8,099.70 and 3,316.84

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Solution

The fourth proportional to 5,869.36, 8,099.70 and 3,316.84 is: 4,577.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,869.36 : 8,099.70 = 3,316.84 : x
  2. Step 2: Convert to fraction form
    5,869.36/8,099.70 = 3,316.84/x
  3. Step 3: Cross multiply
    5,869.36x = 8,099.70 × 3,316.84
  4. Step 4: Simplify right side
    5,869.36x = 26,865,408.95
  5. Step 5: Solve for x
    x = 26,865,408.95/5,869.36
  6. Step 6: Final answer
    x = 4,577.23

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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.