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Finding the Fourth Proportional to 5,924.16, 8,175.04 and 3,406.40

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Solution

The fourth proportional to 5,924.16, 8,175.04 and 3,406.40 is: 4,700.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,924.16 : 8,175.04 = 3,406.40 : x
  2. Step 2: Convert to fraction form
    5,924.16/8,175.04 = 3,406.40/x
  3. Step 3: Cross multiply
    5,924.16x = 8,175.04 × 3,406.40
  4. Step 4: Simplify right side
    5,924.16x = 27,847,456.26
  5. Step 5: Solve for x
    x = 27,847,456.26/5,924.16
  6. Step 6: Final answer
    x = 4,700.66

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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.