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Finding the Fourth Proportional to 3,071.70, 4,235.60 and 2,075.25

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Solution

The fourth proportional to 3,071.70, 4,235.60 and 2,075.25 is: 2,861.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.70 : 4,235.60 = 2,075.25 : x
  2. Step 2: Convert to fraction form
    3,071.70/4,235.60 = 2,075.25/x
  3. Step 3: Cross multiply
    3,071.70x = 4,235.60 × 2,075.25
  4. Step 4: Simplify right side
    3,071.70x = 8,789,914.47
  5. Step 5: Solve for x
    x = 8,789,914.47/3,071.70
  6. Step 6: Final answer
    x = 2,861.58

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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.