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Finding the Fourth Proportional to 5,869.42, 8,099.54 and 3,216.76

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Solution

The fourth proportional to 5,869.42, 8,099.54 and 3,216.76 is: 4,438.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,869.42 : 8,099.54 = 3,216.76 : x
  2. Step 2: Convert to fraction form
    5,869.42/8,099.54 = 3,216.76/x
  3. Step 3: Cross multiply
    5,869.42x = 8,099.54 × 3,216.76
  4. Step 4: Simplify right side
    5,869.42x = 26,054,276.29
  5. Step 5: Solve for x
    x = 26,054,276.29/5,869.42
  6. Step 6: Final answer
    x = 4,438.99

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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.