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Finding the Fourth Proportional to 5,724.84, 7,889.22 and 4,065.96

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Solution

The fourth proportional to 5,724.84, 7,889.22 and 4,065.96 is: 5,603.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724.84 : 7,889.22 = 4,065.96 : x
  2. Step 2: Convert to fraction form
    5,724.84/7,889.22 = 4,065.96/x
  3. Step 3: Cross multiply
    5,724.84x = 7,889.22 × 4,065.96
  4. Step 4: Simplify right side
    5,724.84x = 32,077,252.95
  5. Step 5: Solve for x
    x = 32,077,252.95/5,724.84
  6. Step 6: Final answer
    x = 5,603.17

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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.