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Finding the Fourth Proportional to 3,799.58, 5,692.95 and 2,698.47

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Solution

The fourth proportional to 3,799.58, 5,692.95 and 2,698.47 is: 4,043.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,799.58 : 5,692.95 = 2,698.47 : x
  2. Step 2: Convert to fraction form
    3,799.58/5,692.95 = 2,698.47/x
  3. Step 3: Cross multiply
    3,799.58x = 5,692.95 × 2,698.47
  4. Step 4: Simplify right side
    3,799.58x = 15,362,254.79
  5. Step 5: Solve for x
    x = 15,362,254.79/3,799.58
  6. Step 6: Final answer
    x = 4,043.15

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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.