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Finding the Fourth Proportional to 2,949.89, 4,075.89 and 2,576.30

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Solution

The fourth proportional to 2,949.89, 4,075.89 and 2,576.30 is: 3,559.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,949.89 : 4,075.89 = 2,576.30 : x
  2. Step 2: Convert to fraction form
    2,949.89/4,075.89 = 2,576.30/x
  3. Step 3: Cross multiply
    2,949.89x = 4,075.89 × 2,576.30
  4. Step 4: Simplify right side
    2,949.89x = 10,500,715.41
  5. Step 5: Solve for x
    x = 10,500,715.41/2,949.89
  6. Step 6: Final answer
    x = 3,559.70

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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.