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Finding the Fourth Proportional to 5,861.57, 8,088.93 and 3,208.98

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Solution

The fourth proportional to 5,861.57, 8,088.93 and 3,208.98 is: 4,428.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,861.57 : 8,088.93 = 3,208.98 : x
  2. Step 2: Convert to fraction form
    5,861.57/8,088.93 = 3,208.98/x
  3. Step 3: Cross multiply
    5,861.57x = 8,088.93 × 3,208.98
  4. Step 4: Simplify right side
    5,861.57x = 25,957,244.92
  5. Step 5: Solve for x
    x = 25,957,244.92/5,861.57
  6. Step 6: Final answer
    x = 4,428.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.