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Finding the Fourth Proportional to 3,559.95, 4,913.19 and 2,067.84

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Solution

The fourth proportional to 3,559.95, 4,913.19 and 2,067.84 is: 2,853.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,559.95 : 4,913.19 = 2,067.84 : x
  2. Step 2: Convert to fraction form
    3,559.95/4,913.19 = 2,067.84/x
  3. Step 3: Cross multiply
    3,559.95x = 4,913.19 × 2,067.84
  4. Step 4: Simplify right side
    3,559.95x = 10,159,690.81
  5. Step 5: Solve for x
    x = 10,159,690.81/3,559.95
  6. Step 6: Final answer
    x = 2,853.89

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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.