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Finding the Fourth Proportional to 5,309.01, 7,963.50 and 1,799.02

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Solution

The fourth proportional to 5,309.01, 7,963.50 and 1,799.02 is: 2,698.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.01 : 7,963.50 = 1,799.02 : x
  2. Step 2: Convert to fraction form
    5,309.01/7,963.50 = 1,799.02/x
  3. Step 3: Cross multiply
    5,309.01x = 7,963.50 × 1,799.02
  4. Step 4: Simplify right side
    5,309.01x = 14,326,512.47
  5. Step 5: Solve for x
    x = 14,326,512.47/5,309.01
  6. Step 6: Final answer
    x = 2,698.53

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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.