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Finding the Fourth Proportional to 5,844.31, 8,024.35 and 5,692.07

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Solution

The fourth proportional to 5,844.31, 8,024.35 and 5,692.07 is: 7,815.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,844.31 : 8,024.35 = 5,692.07 : x
  2. Step 2: Convert to fraction form
    5,844.31/8,024.35 = 5,692.07/x
  3. Step 3: Cross multiply
    5,844.31x = 8,024.35 × 5,692.07
  4. Step 4: Simplify right side
    5,844.31x = 45,675,161.90
  5. Step 5: Solve for x
    x = 45,675,161.90/5,844.31
  6. Step 6: Final answer
    x = 7,815.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.