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Finding the Fourth Proportional to 4,075.46, 6,101.03 and 4,005.80

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Solution

The fourth proportional to 4,075.46, 6,101.03 and 4,005.80 is: 5,996.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,075.46 : 6,101.03 = 4,005.80 : x
  2. Step 2: Convert to fraction form
    4,075.46/6,101.03 = 4,005.80/x
  3. Step 3: Cross multiply
    4,075.46x = 6,101.03 × 4,005.80
  4. Step 4: Simplify right side
    4,075.46x = 24,439,485.48
  5. Step 5: Solve for x
    x = 24,439,485.48/4,075.46
  6. Step 6: Final answer
    x = 5,996.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.