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Finding the Fourth Proportional to 5,657.02, 7,790.22 and 5,296

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Solution

The fourth proportional to 5,657.02, 7,790.22 and 5,296 is: 7,293.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.02 : 7,790.22 = 5,296 : x
  2. Step 2: Convert to fraction form
    5,657.02/7,790.22 = 5,296/x
  3. Step 3: Cross multiply
    5,657.02x = 7,790.22 × 5,296
  4. Step 4: Simplify right side
    5,657.02x = 41,257,005.12
  5. Step 5: Solve for x
    x = 41,257,005.12/5,657.02
  6. Step 6: Final answer
    x = 7,293.06

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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.