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Finding the Fourth Proportional to 5,632.21, 7,767.73 and 4,219.22

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Solution

The fourth proportional to 5,632.21, 7,767.73 and 4,219.22 is: 5,818.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,632.21 : 7,767.73 = 4,219.22 : x
  2. Step 2: Convert to fraction form
    5,632.21/7,767.73 = 4,219.22/x
  3. Step 3: Cross multiply
    5,632.21x = 7,767.73 × 4,219.22
  4. Step 4: Simplify right side
    5,632.21x = 32,773,761.77
  5. Step 5: Solve for x
    x = 32,773,761.77/5,632.21
  6. Step 6: Final answer
    x = 5,818.99

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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.