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Finding the Fourth Proportional to 6,222.92, 8,587.95 and 3,428.42

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Solution

The fourth proportional to 6,222.92, 8,587.95 and 3,428.42 is: 4,731.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,222.92 : 8,587.95 = 3,428.42 : x
  2. Step 2: Convert to fraction form
    6,222.92/8,587.95 = 3,428.42/x
  3. Step 3: Cross multiply
    6,222.92x = 8,587.95 × 3,428.42
  4. Step 4: Simplify right side
    6,222.92x = 29,443,099.54
  5. Step 5: Solve for x
    x = 29,443,099.54/6,222.92
  6. Step 6: Final answer
    x = 4,731.40

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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.