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Finding the Fourth Proportional to 4,617.36, 6,926.04 and 2,153.90

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Solution

The fourth proportional to 4,617.36, 6,926.04 and 2,153.90 is: 3,230.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,617.36 : 6,926.04 = 2,153.90 : x
  2. Step 2: Convert to fraction form
    4,617.36/6,926.04 = 2,153.90/x
  3. Step 3: Cross multiply
    4,617.36x = 6,926.04 × 2,153.90
  4. Step 4: Simplify right side
    4,617.36x = 14,918,014.87
  5. Step 5: Solve for x
    x = 14,918,014.87/4,617.36
  6. Step 6: Final answer
    x = 3,230.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.