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Finding the Fourth Proportional to 5,153.40, 7,727.64 and 2,230.50

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Solution

The fourth proportional to 5,153.40, 7,727.64 and 2,230.50 is: 3,344.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,153.40 : 7,727.64 = 2,230.50 : x
  2. Step 2: Convert to fraction form
    5,153.40/7,727.64 = 2,230.50/x
  3. Step 3: Cross multiply
    5,153.40x = 7,727.64 × 2,230.50
  4. Step 4: Simplify right side
    5,153.40x = 17,236,501.02
  5. Step 5: Solve for x
    x = 17,236,501.02/5,153.40
  6. Step 6: Final answer
    x = 3,344.69

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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.