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Finding the Fourth Proportional to 3,799.98, 5,698.76 and 1,952.10

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Solution

The fourth proportional to 3,799.98, 5,698.76 and 1,952.10 is: 2,927.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,799.98 : 5,698.76 = 1,952.10 : x
  2. Step 2: Convert to fraction form
    3,799.98/5,698.76 = 1,952.10/x
  3. Step 3: Cross multiply
    3,799.98x = 5,698.76 × 1,952.10
  4. Step 4: Simplify right side
    3,799.98x = 11,124,539.64
  5. Step 5: Solve for x
    x = 11,124,539.64/3,799.98
  6. Step 6: Final answer
    x = 2,927.53

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1.5x scale

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.