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Finding the Fourth Proportional to 5,696.33, 7,861.05 and 3,178.44

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Solution

The fourth proportional to 5,696.33, 7,861.05 and 3,178.44 is: 4,386.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.33 : 7,861.05 = 3,178.44 : x
  2. Step 2: Convert to fraction form
    5,696.33/7,861.05 = 3,178.44/x
  3. Step 3: Cross multiply
    5,696.33x = 7,861.05 × 3,178.44
  4. Step 4: Simplify right side
    5,696.33x = 24,985,875.76
  5. Step 5: Solve for x
    x = 24,985,875.76/5,696.33
  6. Step 6: Final answer
    x = 4,386.31

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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.