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Finding the Fourth Proportional to 3,477.12, 4,794.12 and 2,296.32

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Solution

The fourth proportional to 3,477.12, 4,794.12 and 2,296.32 is: 3,166.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.12 : 4,794.12 = 2,296.32 : x
  2. Step 2: Convert to fraction form
    3,477.12/4,794.12 = 2,296.32/x
  3. Step 3: Cross multiply
    3,477.12x = 4,794.12 × 2,296.32
  4. Step 4: Simplify right side
    3,477.12x = 11,008,833.64
  5. Step 5: Solve for x
    x = 11,008,833.64/3,477.12
  6. Step 6: Final answer
    x = 3,166.08

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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.