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Finding the Fourth Proportional to 4,765.82, 6,563.23 and 4,289.66

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Solution

The fourth proportional to 4,765.82, 6,563.23 and 4,289.66 is: 5,907.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765.82 : 6,563.23 = 4,289.66 : x
  2. Step 2: Convert to fraction form
    4,765.82/6,563.23 = 4,289.66/x
  3. Step 3: Cross multiply
    4,765.82x = 6,563.23 × 4,289.66
  4. Step 4: Simplify right side
    4,765.82x = 28,153,970.94
  5. Step 5: Solve for x
    x = 28,153,970.94/4,765.82
  6. Step 6: Final answer
    x = 5,907.48

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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.