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Finding the Fourth Proportional to 3,505.83, 4,836 and 2,263.83

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Solution

The fourth proportional to 3,505.83, 4,836 and 2,263.83 is: 3,122.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.83 : 4,836 = 2,263.83 : x
  2. Step 2: Convert to fraction form
    3,505.83/4,836 = 2,263.83/x
  3. Step 3: Cross multiply
    3,505.83x = 4,836 × 2,263.83
  4. Step 4: Simplify right side
    3,505.83x = 10,947,881.88
  5. Step 5: Solve for x
    x = 10,947,881.88/3,505.83
  6. Step 6: Final answer
    x = 3,122.76

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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.