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Finding the Fourth Proportional to 5,218, 7,201.16 and 3,010

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Solution

The fourth proportional to 5,218, 7,201.16 and 3,010 is: 4,153.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218 : 7,201.16 = 3,010 : x
  2. Step 2: Convert to fraction form
    5,218/7,201.16 = 3,010/x
  3. Step 3: Cross multiply
    5,218x = 7,201.16 × 3,010
  4. Step 4: Simplify right side
    5,218x = 21,675,491.60
  5. Step 5: Solve for x
    x = 21,675,491.60/5,218
  6. Step 6: Final answer
    x = 4,153.98

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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.