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Finding the Fourth Proportional to 4,137.90, 6,206.93 and 1,216.20

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Solution

The fourth proportional to 4,137.90, 6,206.93 and 1,216.20 is: 1,824.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137.90 : 6,206.93 = 1,216.20 : x
  2. Step 2: Convert to fraction form
    4,137.90/6,206.93 = 1,216.20/x
  3. Step 3: Cross multiply
    4,137.90x = 6,206.93 × 1,216.20
  4. Step 4: Simplify right side
    4,137.90x = 7,548,868.27
  5. Step 5: Solve for x
    x = 7,548,868.27/4,137.90
  6. Step 6: Final answer
    x = 1,824.32

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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.