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Finding the Fourth Proportional to 3,461.36, 4,772.59 and 2,796.14

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Solution

The fourth proportional to 3,461.36, 4,772.59 and 2,796.14 is: 3,855.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.36 : 4,772.59 = 2,796.14 : x
  2. Step 2: Convert to fraction form
    3,461.36/4,772.59 = 2,796.14/x
  3. Step 3: Cross multiply
    3,461.36x = 4,772.59 × 2,796.14
  4. Step 4: Simplify right side
    3,461.36x = 13,344,834.74
  5. Step 5: Solve for x
    x = 13,344,834.74/3,461.36
  6. Step 6: Final answer
    x = 3,855.38

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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.