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Finding the Fourth Proportional to 6,075.40, 8,383.98 and 3,422.77

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Solution

The fourth proportional to 6,075.40, 8,383.98 and 3,422.77 is: 4,723.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,075.40 : 8,383.98 = 3,422.77 : x
  2. Step 2: Convert to fraction form
    6,075.40/8,383.98 = 3,422.77/x
  3. Step 3: Cross multiply
    6,075.40x = 8,383.98 × 3,422.77
  4. Step 4: Simplify right side
    6,075.40x = 28,696,435.22
  5. Step 5: Solve for x
    x = 28,696,435.22/6,075.40
  6. Step 6: Final answer
    x = 4,723.38

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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.