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Finding the Fourth Proportional to 5,812.64, 8,716.71 and 1,862.82

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Solution

The fourth proportional to 5,812.64, 8,716.71 and 1,862.82 is: 2,793.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812.64 : 8,716.71 = 1,862.82 : x
  2. Step 2: Convert to fraction form
    5,812.64/8,716.71 = 1,862.82/x
  3. Step 3: Cross multiply
    5,812.64x = 8,716.71 × 1,862.82
  4. Step 4: Simplify right side
    5,812.64x = 16,237,693.22
  5. Step 5: Solve for x
    x = 16,237,693.22/5,812.64
  6. Step 6: Final answer
    x = 2,793.52

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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.