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Finding the Fourth Proportional to 3,485.58, 4,809.41 and 2,069.01

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Solution

The fourth proportional to 3,485.58, 4,809.41 and 2,069.01 is: 2,854.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.58 : 4,809.41 = 2,069.01 : x
  2. Step 2: Convert to fraction form
    3,485.58/4,809.41 = 2,069.01/x
  3. Step 3: Cross multiply
    3,485.58x = 4,809.41 × 2,069.01
  4. Step 4: Simplify right side
    3,485.58x = 9,950,717.38
  5. Step 5: Solve for x
    x = 9,950,717.38/3,485.58
  6. Step 6: Final answer
    x = 2,854.82

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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.