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Finding the Fourth Proportional to 5,882.84, 8,119.24 and 3,525.72

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Solution

The fourth proportional to 5,882.84, 8,119.24 and 3,525.72 is: 4,866.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.84 : 8,119.24 = 3,525.72 : x
  2. Step 2: Convert to fraction form
    5,882.84/8,119.24 = 3,525.72/x
  3. Step 3: Cross multiply
    5,882.84x = 8,119.24 × 3,525.72
  4. Step 4: Simplify right side
    5,882.84x = 28,626,166.85
  5. Step 5: Solve for x
    x = 28,626,166.85/5,882.84
  6. Step 6: Final answer
    x = 4,866.05

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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.