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Finding the Fourth Proportional to 4,810.86, 7,216.74 and 1,348.14

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Solution

The fourth proportional to 4,810.86, 7,216.74 and 1,348.14 is: 2,022.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,810.86 : 7,216.74 = 1,348.14 : x
  2. Step 2: Convert to fraction form
    4,810.86/7,216.74 = 1,348.14/x
  3. Step 3: Cross multiply
    4,810.86x = 7,216.74 × 1,348.14
  4. Step 4: Simplify right side
    4,810.86x = 9,729,175.86
  5. Step 5: Solve for x
    x = 9,729,175.86/4,810.86
  6. Step 6: Final answer
    x = 2,022.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.