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Finding the Fourth Proportional to 4,297.02, 6,410.91 and 3,829.20

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Solution

The fourth proportional to 4,297.02, 6,410.91 and 3,829.20 is: 5,712.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.02 : 6,410.91 = 3,829.20 : x
  2. Step 2: Convert to fraction form
    4,297.02/6,410.91 = 3,829.20/x
  3. Step 3: Cross multiply
    4,297.02x = 6,410.91 × 3,829.20
  4. Step 4: Simplify right side
    4,297.02x = 24,548,656.57
  5. Step 5: Solve for x
    x = 24,548,656.57/4,297.02
  6. Step 6: Final answer
    x = 5,712.95

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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.