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Finding the Fourth Proportional to 5,782.64, 8,668.68 and 2,084

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Solution

The fourth proportional to 5,782.64, 8,668.68 and 2,084 is: 3,124.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.64 : 8,668.68 = 2,084 : x
  2. Step 2: Convert to fraction form
    5,782.64/8,668.68 = 2,084/x
  3. Step 3: Cross multiply
    5,782.64x = 8,668.68 × 2,084
  4. Step 4: Simplify right side
    5,782.64x = 18,065,529.12
  5. Step 5: Solve for x
    x = 18,065,529.12/5,782.64
  6. Step 6: Final answer
    x = 3,124.10

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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.