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Finding the Fourth Proportional to 3,682.32, 5,518.08 and 1,952.16

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Solution

The fourth proportional to 3,682.32, 5,518.08 and 1,952.16 is: 2,925.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.32 : 5,518.08 = 1,952.16 : x
  2. Step 2: Convert to fraction form
    3,682.32/5,518.08 = 1,952.16/x
  3. Step 3: Cross multiply
    3,682.32x = 5,518.08 × 1,952.16
  4. Step 4: Simplify right side
    3,682.32x = 10,772,175.05
  5. Step 5: Solve for x
    x = 10,772,175.05/3,682.32
  6. Step 6: Final answer
    x = 2,925.38

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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.