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Finding the Fourth Proportional to 4,230.61, 6,347.73 and 1,765.91

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Solution

The fourth proportional to 4,230.61, 6,347.73 and 1,765.91 is: 2,649.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,230.61 : 6,347.73 = 1,765.91 : x
  2. Step 2: Convert to fraction form
    4,230.61/6,347.73 = 1,765.91/x
  3. Step 3: Cross multiply
    4,230.61x = 6,347.73 × 1,765.91
  4. Step 4: Simplify right side
    4,230.61x = 11,209,519.88
  5. Step 5: Solve for x
    x = 11,209,519.88/4,230.61
  6. Step 6: Final answer
    x = 2,649.62

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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.