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Finding the Fourth Proportional to 4,230.95, 6,346.31 and 1,765.71

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Solution

The fourth proportional to 4,230.95, 6,346.31 and 1,765.71 is: 2,648.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,230.95 : 6,346.31 = 1,765.71 : x
  2. Step 2: Convert to fraction form
    4,230.95/6,346.31 = 1,765.71/x
  3. Step 3: Cross multiply
    4,230.95x = 6,346.31 × 1,765.71
  4. Step 4: Simplify right side
    4,230.95x = 11,205,734.20
  5. Step 5: Solve for x
    x = 11,205,734.20/4,230.95
  6. Step 6: Final answer
    x = 2,648.52

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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.