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Finding the Fourth Proportional to 5,875, 8,108.46 and 3,392.44

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Solution

The fourth proportional to 5,875, 8,108.46 and 3,392.44 is: 4,682.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,875 : 8,108.46 = 3,392.44 : x
  2. Step 2: Convert to fraction form
    5,875/8,108.46 = 3,392.44/x
  3. Step 3: Cross multiply
    5,875x = 8,108.46 × 3,392.44
  4. Step 4: Simplify right side
    5,875x = 27,507,464.04
  5. Step 5: Solve for x
    x = 27,507,464.04/5,875
  6. Step 6: Final answer
    x = 4,682.12

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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.