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Finding the Fourth Proportional to 4,764.54, 7,147.50 and 1,477.89

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Solution

The fourth proportional to 4,764.54, 7,147.50 and 1,477.89 is: 2,217.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.54 : 7,147.50 = 1,477.89 : x
  2. Step 2: Convert to fraction form
    4,764.54/7,147.50 = 1,477.89/x
  3. Step 3: Cross multiply
    4,764.54x = 7,147.50 × 1,477.89
  4. Step 4: Simplify right side
    4,764.54x = 10,563,211.39
  5. Step 5: Solve for x
    x = 10,563,211.39/4,764.54
  6. Step 6: Final answer
    x = 2,217.05

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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.