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Finding the Fourth Proportional to 5,216.26, 7,201.80 and 4,655.78

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Solution

The fourth proportional to 5,216.26, 7,201.80 and 4,655.78 is: 6,427.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.26 : 7,201.80 = 4,655.78 : x
  2. Step 2: Convert to fraction form
    5,216.26/7,201.80 = 4,655.78/x
  3. Step 3: Cross multiply
    5,216.26x = 7,201.80 × 4,655.78
  4. Step 4: Simplify right side
    5,216.26x = 33,529,996.40
  5. Step 5: Solve for x
    x = 33,529,996.40/5,216.26
  6. Step 6: Final answer
    x = 6,427.98

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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.