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Finding the Fourth Proportional to 3,518.74, 4,847.40 and 3,013

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Solution

The fourth proportional to 3,518.74, 4,847.40 and 3,013 is: 4,150.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,518.74 : 4,847.40 = 3,013 : x
  2. Step 2: Convert to fraction form
    3,518.74/4,847.40 = 3,013/x
  3. Step 3: Cross multiply
    3,518.74x = 4,847.40 × 3,013
  4. Step 4: Simplify right side
    3,518.74x = 14,605,216.20
  5. Step 5: Solve for x
    x = 14,605,216.20/3,518.74
  6. Step 6: Final answer
    x = 4,150.69

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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.