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Finding the Fourth Proportional to 3,976.02, 5,965.02 and 1,378.98

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Solution

The fourth proportional to 3,976.02, 5,965.02 and 1,378.98 is: 2,068.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.02 : 5,965.02 = 1,378.98 : x
  2. Step 2: Convert to fraction form
    3,976.02/5,965.02 = 1,378.98/x
  3. Step 3: Cross multiply
    3,976.02x = 5,965.02 × 1,378.98
  4. Step 4: Simplify right side
    3,976.02x = 8,225,643.28
  5. Step 5: Solve for x
    x = 8,225,643.28/3,976.02
  6. Step 6: Final answer
    x = 2,068.81

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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.