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Finding the Fourth Proportional to 4,657.80, 6,427.83 and 2,533.39

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Solution

The fourth proportional to 4,657.80, 6,427.83 and 2,533.39 is: 3,496.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.80 : 6,427.83 = 2,533.39 : x
  2. Step 2: Convert to fraction form
    4,657.80/6,427.83 = 2,533.39/x
  3. Step 3: Cross multiply
    4,657.80x = 6,427.83 × 2,533.39
  4. Step 4: Simplify right side
    4,657.80x = 16,284,217.78
  5. Step 5: Solve for x
    x = 16,284,217.78/4,657.80
  6. Step 6: Final answer
    x = 3,496.12

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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.