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Finding the Fourth Proportional to 3,928.77, 5,894.08 and 1,738.13

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Solution

The fourth proportional to 3,928.77, 5,894.08 and 1,738.13 is: 2,607.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,928.77 : 5,894.08 = 1,738.13 : x
  2. Step 2: Convert to fraction form
    3,928.77/5,894.08 = 1,738.13/x
  3. Step 3: Cross multiply
    3,928.77x = 5,894.08 × 1,738.13
  4. Step 4: Simplify right side
    3,928.77x = 10,244,643.45
  5. Step 5: Solve for x
    x = 10,244,643.45/3,928.77
  6. Step 6: Final answer
    x = 2,607.60

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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.