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Finding the Fourth Proportional to 4,697.90, 6,480.25 and 3,104.56

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Solution

The fourth proportional to 4,697.90, 6,480.25 and 3,104.56 is: 4,282.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.90 : 6,480.25 = 3,104.56 : x
  2. Step 2: Convert to fraction form
    4,697.90/6,480.25 = 3,104.56/x
  3. Step 3: Cross multiply
    4,697.90x = 6,480.25 × 3,104.56
  4. Step 4: Simplify right side
    4,697.90x = 20,118,300.98
  5. Step 5: Solve for x
    x = 20,118,300.98/4,697.90
  6. Step 6: Final answer
    x = 4,282.41

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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.