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Finding the Fourth Proportional to 5,074.64, 7,609.64 and 2,151.36

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Solution

The fourth proportional to 5,074.64, 7,609.64 and 2,151.36 is: 3,226.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,074.64 : 7,609.64 = 2,151.36 : x
  2. Step 2: Convert to fraction form
    5,074.64/7,609.64 = 2,151.36/x
  3. Step 3: Cross multiply
    5,074.64x = 7,609.64 × 2,151.36
  4. Step 4: Simplify right side
    5,074.64x = 16,371,075.11
  5. Step 5: Solve for x
    x = 16,371,075.11/5,074.64
  6. Step 6: Final answer
    x = 3,226.06

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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.