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Finding the Fourth Proportional to 4,199.32, 6,308.16 and 3,645.64

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Solution

The fourth proportional to 4,199.32, 6,308.16 and 3,645.64 is: 5,476.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.32 : 6,308.16 = 3,645.64 : x
  2. Step 2: Convert to fraction form
    4,199.32/6,308.16 = 3,645.64/x
  3. Step 3: Cross multiply
    4,199.32x = 6,308.16 × 3,645.64
  4. Step 4: Simplify right side
    4,199.32x = 22,997,280.42
  5. Step 5: Solve for x
    x = 22,997,280.42/4,199.32
  6. Step 6: Final answer
    x = 5,476.43

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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.