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Finding the Fourth Proportional to 3,802.66, 5,689.38 and 2,159.98

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Solution

The fourth proportional to 3,802.66, 5,689.38 and 2,159.98 is: 3,231.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.66 : 5,689.38 = 2,159.98 : x
  2. Step 2: Convert to fraction form
    3,802.66/5,689.38 = 2,159.98/x
  3. Step 3: Cross multiply
    3,802.66x = 5,689.38 × 2,159.98
  4. Step 4: Simplify right side
    3,802.66x = 12,288,947.01
  5. Step 5: Solve for x
    x = 12,288,947.01/3,802.66
  6. Step 6: Final answer
    x = 3,231.67

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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.