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Finding the Fourth Proportional to 3,927.88, 5,894.44 and 1,462.95

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Solution

The fourth proportional to 3,927.88, 5,894.44 and 1,462.95 is: 2,195.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.88 : 5,894.44 = 1,462.95 : x
  2. Step 2: Convert to fraction form
    3,927.88/5,894.44 = 1,462.95/x
  3. Step 3: Cross multiply
    3,927.88x = 5,894.44 × 1,462.95
  4. Step 4: Simplify right side
    3,927.88x = 8,623,271.00
  5. Step 5: Solve for x
    x = 8,623,271.00/3,927.88
  6. Step 6: Final answer
    x = 2,195.40

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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.