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Finding the Fourth Proportional to 4,077.96, 6,118.08 and 1,738.08

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Solution

The fourth proportional to 4,077.96, 6,118.08 and 1,738.08 is: 2,607.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,077.96 : 6,118.08 = 1,738.08 : x
  2. Step 2: Convert to fraction form
    4,077.96/6,118.08 = 1,738.08/x
  3. Step 3: Cross multiply
    4,077.96x = 6,118.08 × 1,738.08
  4. Step 4: Simplify right side
    4,077.96x = 10,633,712.49
  5. Step 5: Solve for x
    x = 10,633,712.49/4,077.96
  6. Step 6: Final answer
    x = 2,607.61

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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.