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Finding the Fourth Proportional to 5,774.46, 8,662.49 and 2,076

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Solution

The fourth proportional to 5,774.46, 8,662.49 and 2,076 is: 3,114.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.46 : 8,662.49 = 2,076 : x
  2. Step 2: Convert to fraction form
    5,774.46/8,662.49 = 2,076/x
  3. Step 3: Cross multiply
    5,774.46x = 8,662.49 × 2,076
  4. Step 4: Simplify right side
    5,774.46x = 17,983,329.24
  5. Step 5: Solve for x
    x = 17,983,329.24/5,774.46
  6. Step 6: Final answer
    x = 3,114.29

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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.