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Finding the Fourth Proportional to 4,643.95, 6,408.63 and 2,519.48

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Solution

The fourth proportional to 4,643.95, 6,408.63 and 2,519.48 is: 3,476.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.95 : 6,408.63 = 2,519.48 : x
  2. Step 2: Convert to fraction form
    4,643.95/6,408.63 = 2,519.48/x
  3. Step 3: Cross multiply
    4,643.95x = 6,408.63 × 2,519.48
  4. Step 4: Simplify right side
    4,643.95x = 16,146,370.47
  5. Step 5: Solve for x
    x = 16,146,370.47/4,643.95
  6. Step 6: Final answer
    x = 3,476.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.