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Finding the Fourth Proportional to 3,788.16, 5,228.24 and 2,296.32

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Solution

The fourth proportional to 3,788.16, 5,228.24 and 2,296.32 is: 3,169.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.16 : 5,228.24 = 2,296.32 : x
  2. Step 2: Convert to fraction form
    3,788.16/5,228.24 = 2,296.32/x
  3. Step 3: Cross multiply
    3,788.16x = 5,228.24 × 2,296.32
  4. Step 4: Simplify right side
    3,788.16x = 12,005,712.08
  5. Step 5: Solve for x
    x = 12,005,712.08/3,788.16
  6. Step 6: Final answer
    x = 3,169.27

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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.