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Finding the Fourth Proportional to 3,098.37, 4,640.37 and 3,075.33

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Solution

The fourth proportional to 3,098.37, 4,640.37 and 3,075.33 is: 4,605.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.37 : 4,640.37 = 3,075.33 : x
  2. Step 2: Convert to fraction form
    3,098.37/4,640.37 = 3,075.33/x
  3. Step 3: Cross multiply
    3,098.37x = 4,640.37 × 3,075.33
  4. Step 4: Simplify right side
    3,098.37x = 14,270,669.07
  5. Step 5: Solve for x
    x = 14,270,669.07/3,098.37
  6. Step 6: Final answer
    x = 4,605.86

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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.