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Finding the Fourth Proportional to 5,696.40, 7,861.08 and 3,178.80

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Solution

The fourth proportional to 5,696.40, 7,861.08 and 3,178.80 is: 4,386.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.40 : 7,861.08 = 3,178.80 : x
  2. Step 2: Convert to fraction form
    5,696.40/7,861.08 = 3,178.80/x
  3. Step 3: Cross multiply
    5,696.40x = 7,861.08 × 3,178.80
  4. Step 4: Simplify right side
    5,696.40x = 24,988,801.10
  5. Step 5: Solve for x
    x = 24,988,801.10/5,696.40
  6. Step 6: Final answer
    x = 4,386.77

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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.