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Finding the Fourth Proportional to 5,730.96, 7,857.22 and 5,627.28

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Solution

The fourth proportional to 5,730.96, 7,857.22 and 5,627.28 is: 7,715.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.96 : 7,857.22 = 5,627.28 : x
  2. Step 2: Convert to fraction form
    5,730.96/7,857.22 = 5,627.28/x
  3. Step 3: Cross multiply
    5,730.96x = 7,857.22 × 5,627.28
  4. Step 4: Simplify right side
    5,730.96x = 44,214,776.96
  5. Step 5: Solve for x
    x = 44,214,776.96/5,730.96
  6. Step 6: Final answer
    x = 7,715.07

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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.