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Finding the Fourth Proportional to 6,075.76, 8,383.94 and 3,423.64

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Solution

The fourth proportional to 6,075.76, 8,383.94 and 3,423.64 is: 4,724.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,075.76 : 8,383.94 = 3,423.64 : x
  2. Step 2: Convert to fraction form
    6,075.76/8,383.94 = 3,423.64/x
  3. Step 3: Cross multiply
    6,075.76x = 8,383.94 × 3,423.64
  4. Step 4: Simplify right side
    6,075.76x = 28,703,558.98
  5. Step 5: Solve for x
    x = 28,703,558.98/6,075.76
  6. Step 6: Final answer
    x = 4,724.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.