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Finding the Fourth Proportional to 4,676.23, 7,007.66 and 3,433.89

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Solution

The fourth proportional to 4,676.23, 7,007.66 and 3,433.89 is: 5,145.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.23 : 7,007.66 = 3,433.89 : x
  2. Step 2: Convert to fraction form
    4,676.23/7,007.66 = 3,433.89/x
  3. Step 3: Cross multiply
    4,676.23x = 7,007.66 × 3,433.89
  4. Step 4: Simplify right side
    4,676.23x = 24,063,533.60
  5. Step 5: Solve for x
    x = 24,063,533.60/4,676.23
  6. Step 6: Final answer
    x = 5,145.93

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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.