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Finding the Fourth Proportional to 5,733.96, 7,861.34 and 5,630.28

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Solution

The fourth proportional to 5,733.96, 7,861.34 and 5,630.28 is: 7,719.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,733.96 : 7,861.34 = 5,630.28 : x
  2. Step 2: Convert to fraction form
    5,733.96/7,861.34 = 5,630.28/x
  3. Step 3: Cross multiply
    5,733.96x = 7,861.34 × 5,630.28
  4. Step 4: Simplify right side
    5,733.96x = 44,261,545.38
  5. Step 5: Solve for x
    x = 44,261,545.38/5,733.96
  6. Step 6: Final answer
    x = 7,719.19

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.