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Finding the Fourth Proportional to 4,175.40, 6,226.25 and 4,137.90

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Solution

The fourth proportional to 4,175.40, 6,226.25 and 4,137.90 is: 6,170.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,175.40 : 6,226.25 = 4,137.90 : x
  2. Step 2: Convert to fraction form
    4,175.40/6,226.25 = 4,137.90/x
  3. Step 3: Cross multiply
    4,175.40x = 6,226.25 × 4,137.90
  4. Step 4: Simplify right side
    4,175.40x = 25,763,625.81
  5. Step 5: Solve for x
    x = 25,763,625.81/4,175.40
  6. Step 6: Final answer
    x = 6,170.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.