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Finding the Fourth Proportional to 3,788.16, 5,228.03 and 2,297.13

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Solution

The fourth proportional to 3,788.16, 5,228.03 and 2,297.13 is: 3,170.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.16 : 5,228.03 = 2,297.13 : x
  2. Step 2: Convert to fraction form
    3,788.16/5,228.03 = 2,297.13/x
  3. Step 3: Cross multiply
    3,788.16x = 5,228.03 × 2,297.13
  4. Step 4: Simplify right side
    3,788.16x = 12,009,464.55
  5. Step 5: Solve for x
    x = 12,009,464.55/3,788.16
  6. Step 6: Final answer
    x = 3,170.26

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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.