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Finding the Fourth Proportional to 3,598.97, 4,966.94 and 2,106.80

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Solution

The fourth proportional to 3,598.97, 4,966.94 and 2,106.80 is: 2,907.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,598.97 : 4,966.94 = 2,106.80 : x
  2. Step 2: Convert to fraction form
    3,598.97/4,966.94 = 2,106.80/x
  3. Step 3: Cross multiply
    3,598.97x = 4,966.94 × 2,106.80
  4. Step 4: Simplify right side
    3,598.97x = 10,464,338.66
  5. Step 5: Solve for x
    x = 10,464,338.66/3,598.97
  6. Step 6: Final answer
    x = 2,907.59

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1.5x scale

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.