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Finding the Fourth Proportional to 4,765.86, 7,165.26 and 4,405.05

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Solution

The fourth proportional to 4,765.86, 7,165.26 and 4,405.05 is: 6,622.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765.86 : 7,165.26 = 4,405.05 : x
  2. Step 2: Convert to fraction form
    4,765.86/7,165.26 = 4,405.05/x
  3. Step 3: Cross multiply
    4,765.86x = 7,165.26 × 4,405.05
  4. Step 4: Simplify right side
    4,765.86x = 31,563,328.56
  5. Step 5: Solve for x
    x = 31,563,328.56/4,765.86
  6. Step 6: Final answer
    x = 6,622.80

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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.