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Finding the Fourth Proportional to 5,732.46, 7,908.99 and 3,214.20

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Solution

The fourth proportional to 5,732.46, 7,908.99 and 3,214.20 is: 4,434.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732.46 : 7,908.99 = 3,214.20 : x
  2. Step 2: Convert to fraction form
    5,732.46/7,908.99 = 3,214.20/x
  3. Step 3: Cross multiply
    5,732.46x = 7,908.99 × 3,214.20
  4. Step 4: Simplify right side
    5,732.46x = 25,421,075.66
  5. Step 5: Solve for x
    x = 25,421,075.66/5,732.46
  6. Step 6: Final answer
    x = 4,434.58

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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.