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Finding the Fourth Proportional to 5,362.84, 8,056.62 and 5,141.41

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Solution

The fourth proportional to 5,362.84, 8,056.62 and 5,141.41 is: 7,723.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,362.84 : 8,056.62 = 5,141.41 : x
  2. Step 2: Convert to fraction form
    5,362.84/8,056.62 = 5,141.41/x
  3. Step 3: Cross multiply
    5,362.84x = 8,056.62 × 5,141.41
  4. Step 4: Simplify right side
    5,362.84x = 41,422,386.63
  5. Step 5: Solve for x
    x = 41,422,386.63/5,362.84
  6. Step 6: Final answer
    x = 7,723.96

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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.