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Finding the Fourth Proportional to 4,804.88, 7,207.74 and 1,342.14

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Solution

The fourth proportional to 4,804.88, 7,207.74 and 1,342.14 is: 2,013.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,804.88 : 7,207.74 = 1,342.14 : x
  2. Step 2: Convert to fraction form
    4,804.88/7,207.74 = 1,342.14/x
  3. Step 3: Cross multiply
    4,804.88x = 7,207.74 × 1,342.14
  4. Step 4: Simplify right side
    4,804.88x = 9,673,796.16
  5. Step 5: Solve for x
    x = 9,673,796.16/4,804.88
  6. Step 6: Final answer
    x = 2,013.33

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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.