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Finding the Fourth Proportional to 3,477.42, 5,216.00 and 1,396.80

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Solution

The fourth proportional to 3,477.42, 5,216.00 and 1,396.80 is: 2,095.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.42 : 5,216.00 = 1,396.80 : x
  2. Step 2: Convert to fraction form
    3,477.42/5,216.00 = 1,396.80/x
  3. Step 3: Cross multiply
    3,477.42x = 5,216.00 × 1,396.80
  4. Step 4: Simplify right side
    3,477.42x = 7,285,701.82
  5. Step 5: Solve for x
    x = 7,285,701.82/3,477.42
  6. Step 6: Final answer
    x = 2,095.15

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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.