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Finding the Fourth Proportional to 3,473.95, 4,796.28 and 3,100.28

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Solution

The fourth proportional to 3,473.95, 4,796.28 and 3,100.28 is: 4,280.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.95 : 4,796.28 = 3,100.28 : x
  2. Step 2: Convert to fraction form
    3,473.95/4,796.28 = 3,100.28/x
  3. Step 3: Cross multiply
    3,473.95x = 4,796.28 × 3,100.28
  4. Step 4: Simplify right side
    3,473.95x = 14,869,795.46
  5. Step 5: Solve for x
    x = 14,869,795.46/3,473.95
  6. Step 6: Final answer
    x = 4,280.38

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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.