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Finding the Fourth Proportional to 3,678.06, 5,075.70 and 2,084.70

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Solution

The fourth proportional to 3,678.06, 5,075.70 and 2,084.70 is: 2,876.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.06 : 5,075.70 = 2,084.70 : x
  2. Step 2: Convert to fraction form
    3,678.06/5,075.70 = 2,084.70/x
  3. Step 3: Cross multiply
    3,678.06x = 5,075.70 × 2,084.70
  4. Step 4: Simplify right side
    3,678.06x = 10,581,311.79
  5. Step 5: Solve for x
    x = 10,581,311.79/3,678.06
  6. Step 6: Final answer
    x = 2,876.87

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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.