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Finding the Fourth Proportional to 5,766.32, 8,649.08 and 2,068.34

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Solution

The fourth proportional to 5,766.32, 8,649.08 and 2,068.34 is: 3,102.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766.32 : 8,649.08 = 2,068.34 : x
  2. Step 2: Convert to fraction form
    5,766.32/8,649.08 = 2,068.34/x
  3. Step 3: Cross multiply
    5,766.32x = 8,649.08 × 2,068.34
  4. Step 4: Simplify right side
    5,766.32x = 17,889,238.13
  5. Step 5: Solve for x
    x = 17,889,238.13/5,766.32
  6. Step 6: Final answer
    x = 3,102.37

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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.