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Finding the Fourth Proportional to 4,617.56, 6,367.91 and 3,676.46

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Solution

The fourth proportional to 4,617.56, 6,367.91 and 3,676.46 is: 5,070.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,617.56 : 6,367.91 = 3,676.46 : x
  2. Step 2: Convert to fraction form
    4,617.56/6,367.91 = 3,676.46/x
  3. Step 3: Cross multiply
    4,617.56x = 6,367.91 × 3,676.46
  4. Step 4: Simplify right side
    4,617.56x = 23,411,336.69
  5. Step 5: Solve for x
    x = 23,411,336.69/4,617.56
  6. Step 6: Final answer
    x = 5,070.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.