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Finding the Fourth Proportional to 3,075, 4,589.76 and 2,858.28

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Solution

The fourth proportional to 3,075, 4,589.76 and 2,858.28 is: 4,266.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075 : 4,589.76 = 2,858.28 : x
  2. Step 2: Convert to fraction form
    3,075/4,589.76 = 2,858.28/x
  3. Step 3: Cross multiply
    3,075x = 4,589.76 × 2,858.28
  4. Step 4: Simplify right side
    3,075x = 13,118,819.21
  5. Step 5: Solve for x
    x = 13,118,819.21/3,075
  6. Step 6: Final answer
    x = 4,266.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.