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Finding the Fourth Proportional to 3,619.66, 5,430.30 and 1,539.76

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Solution

The fourth proportional to 3,619.66, 5,430.30 and 1,539.76 is: 2,309.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,619.66 : 5,430.30 = 1,539.76 : x
  2. Step 2: Convert to fraction form
    3,619.66/5,430.30 = 1,539.76/x
  3. Step 3: Cross multiply
    3,619.66x = 5,430.30 × 1,539.76
  4. Step 4: Simplify right side
    3,619.66x = 8,361,358.73
  5. Step 5: Solve for x
    x = 8,361,358.73/3,619.66
  6. Step 6: Final answer
    x = 2,309.98

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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.