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Finding the Fourth Proportional to 5,690.66, 7,852.41 and 3,172.91

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Solution

The fourth proportional to 5,690.66, 7,852.41 and 3,172.91 is: 4,378.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.66 : 7,852.41 = 3,172.91 : x
  2. Step 2: Convert to fraction form
    5,690.66/7,852.41 = 3,172.91/x
  3. Step 3: Cross multiply
    5,690.66x = 7,852.41 × 3,172.91
  4. Step 4: Simplify right side
    5,690.66x = 24,914,950.95
  5. Step 5: Solve for x
    x = 24,914,950.95/5,690.66
  6. Step 6: Final answer
    x = 4,378.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.