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Finding the Fourth Proportional to 5,104.56, 7,643.88 and 4,676.88

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Solution

The fourth proportional to 5,104.56, 7,643.88 and 4,676.88 is: 7,003.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,104.56 : 7,643.88 = 4,676.88 : x
  2. Step 2: Convert to fraction form
    5,104.56/7,643.88 = 4,676.88/x
  3. Step 3: Cross multiply
    5,104.56x = 7,643.88 × 4,676.88
  4. Step 4: Simplify right side
    5,104.56x = 35,749,509.49
  5. Step 5: Solve for x
    x = 35,749,509.49/5,104.56
  6. Step 6: Final answer
    x = 7,003.45

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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.