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Finding the Fourth Proportional to 4,676.82, 7,014.47 and 1,903.38

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Solution

The fourth proportional to 4,676.82, 7,014.47 and 1,903.38 is: 2,854.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.82 : 7,014.47 = 1,903.38 : x
  2. Step 2: Convert to fraction form
    4,676.82/7,014.47 = 1,903.38/x
  3. Step 3: Cross multiply
    4,676.82x = 7,014.47 × 1,903.38
  4. Step 4: Simplify right side
    4,676.82x = 13,351,201.91
  5. Step 5: Solve for x
    x = 13,351,201.91/4,676.82
  6. Step 6: Final answer
    x = 2,854.76

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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.