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Finding the Fourth Proportional to 5,676, 8,507.64 and 2,894.88

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Solution

The fourth proportional to 5,676, 8,507.64 and 2,894.88 is: 4,339.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676 : 8,507.64 = 2,894.88 : x
  2. Step 2: Convert to fraction form
    5,676/8,507.64 = 2,894.88/x
  3. Step 3: Cross multiply
    5,676x = 8,507.64 × 2,894.88
  4. Step 4: Simplify right side
    5,676x = 24,628,596.88
  5. Step 5: Solve for x
    x = 24,628,596.88/5,676
  6. Step 6: Final answer
    x = 4,339.08

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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.