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Finding the Fourth Proportional to 3,075.91, 4,609.91 and 2,678.96

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Solution

The fourth proportional to 3,075.91, 4,609.91 and 2,678.96 is: 4,015.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.91 : 4,609.91 = 2,678.96 : x
  2. Step 2: Convert to fraction form
    3,075.91/4,609.91 = 2,678.96/x
  3. Step 3: Cross multiply
    3,075.91x = 4,609.91 × 2,678.96
  4. Step 4: Simplify right side
    3,075.91x = 12,349,782.72
  5. Step 5: Solve for x
    x = 12,349,782.72/3,075.91
  6. Step 6: Final answer
    x = 4,015.00

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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.