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Finding the Fourth Proportional to 5,299.83, 7,949.80 and 1,602.09

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Solution

The fourth proportional to 5,299.83, 7,949.80 and 1,602.09 is: 2,403.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,299.83 : 7,949.80 = 1,602.09 : x
  2. Step 2: Convert to fraction form
    5,299.83/7,949.80 = 1,602.09/x
  3. Step 3: Cross multiply
    5,299.83x = 7,949.80 × 1,602.09
  4. Step 4: Simplify right side
    5,299.83x = 12,736,295.08
  5. Step 5: Solve for x
    x = 12,736,295.08/5,299.83
  6. Step 6: Final answer
    x = 2,403.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.