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Finding the Fourth Proportional to 4,342.17, 6,513.30 and 1,744.50

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Solution

The fourth proportional to 4,342.17, 6,513.30 and 1,744.50 is: 2,616.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,342.17 : 6,513.30 = 1,744.50 : x
  2. Step 2: Convert to fraction form
    4,342.17/6,513.30 = 1,744.50/x
  3. Step 3: Cross multiply
    4,342.17x = 6,513.30 × 1,744.50
  4. Step 4: Simplify right side
    4,342.17x = 11,362,451.85
  5. Step 5: Solve for x
    x = 11,362,451.85/4,342.17
  6. Step 6: Final answer
    x = 2,616.77

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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.