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Finding the Fourth Proportional to 3,922.70, 5,884.04 and 1,454.63

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Solution

The fourth proportional to 3,922.70, 5,884.04 and 1,454.63 is: 2,181.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922.70 : 5,884.04 = 1,454.63 : x
  2. Step 2: Convert to fraction form
    3,922.70/5,884.04 = 1,454.63/x
  3. Step 3: Cross multiply
    3,922.70x = 5,884.04 × 1,454.63
  4. Step 4: Simplify right side
    3,922.70x = 8,559,075.32
  5. Step 5: Solve for x
    x = 8,559,075.32/3,922.70
  6. Step 6: Final answer
    x = 2,181.94

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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.