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Finding the Fourth Proportional to 4,604.94, 6,907.14 and 1,317.69

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Solution

The fourth proportional to 4,604.94, 6,907.14 and 1,317.69 is: 1,976.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,604.94 : 6,907.14 = 1,317.69 : x
  2. Step 2: Convert to fraction form
    4,604.94/6,907.14 = 1,317.69/x
  3. Step 3: Cross multiply
    4,604.94x = 6,907.14 × 1,317.69
  4. Step 4: Simplify right side
    4,604.94x = 9,101,469.31
  5. Step 5: Solve for x
    x = 9,101,469.31/4,604.94
  6. Step 6: Final answer
    x = 1,976.46

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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.