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Finding the Fourth Proportional to 4,856.85, 6,698.90 and 3,175.56

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Solution

The fourth proportional to 4,856.85, 6,698.90 and 3,175.56 is: 4,379.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,856.85 : 6,698.90 = 3,175.56 : x
  2. Step 2: Convert to fraction form
    4,856.85/6,698.90 = 3,175.56/x
  3. Step 3: Cross multiply
    4,856.85x = 6,698.90 × 3,175.56
  4. Step 4: Simplify right side
    4,856.85x = 21,272,766.82
  5. Step 5: Solve for x
    x = 21,272,766.82/4,856.85
  6. Step 6: Final answer
    x = 4,379.95

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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.