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Finding the Fourth Proportional to 3,567.94, 4,922.56 and 2,074.63

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Solution

The fourth proportional to 3,567.94, 4,922.56 and 2,074.63 is: 2,862.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,567.94 : 4,922.56 = 2,074.63 : x
  2. Step 2: Convert to fraction form
    3,567.94/4,922.56 = 2,074.63/x
  3. Step 3: Cross multiply
    3,567.94x = 4,922.56 × 2,074.63
  4. Step 4: Simplify right side
    3,567.94x = 10,212,478.50
  5. Step 5: Solve for x
    x = 10,212,478.50/3,567.94
  6. Step 6: Final answer
    x = 2,862.29

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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.