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Finding the Fourth Proportional to 5,986.08, 8,980.64 and 1,882.08

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Solution

The fourth proportional to 5,986.08, 8,980.64 and 1,882.08 is: 2,823.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,986.08 : 8,980.64 = 1,882.08 : x
  2. Step 2: Convert to fraction form
    5,986.08/8,980.64 = 1,882.08/x
  3. Step 3: Cross multiply
    5,986.08x = 8,980.64 × 1,882.08
  4. Step 4: Simplify right side
    5,986.08x = 16,902,282.93
  5. Step 5: Solve for x
    x = 16,902,282.93/5,986.08
  6. Step 6: Final answer
    x = 2,823.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.