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Finding the Fourth Proportional to 4,163.95, 5,746.47 and 2,395.82

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Solution

The fourth proportional to 4,163.95, 5,746.47 and 2,395.82 is: 3,306.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,163.95 : 5,746.47 = 2,395.82 : x
  2. Step 2: Convert to fraction form
    4,163.95/5,746.47 = 2,395.82/x
  3. Step 3: Cross multiply
    4,163.95x = 5,746.47 × 2,395.82
  4. Step 4: Simplify right side
    4,163.95x = 13,767,522.12
  5. Step 5: Solve for x
    x = 13,767,522.12/4,163.95
  6. Step 6: Final answer
    x = 3,306.36

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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.