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Finding the Fourth Proportional to 5,487.54, 7,570.33 and 3,812.96

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Solution

The fourth proportional to 5,487.54, 7,570.33 and 3,812.96 is: 5,260.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,487.54 : 7,570.33 = 3,812.96 : x
  2. Step 2: Convert to fraction form
    5,487.54/7,570.33 = 3,812.96/x
  3. Step 3: Cross multiply
    5,487.54x = 7,570.33 × 3,812.96
  4. Step 4: Simplify right side
    5,487.54x = 28,865,346.41
  5. Step 5: Solve for x
    x = 28,865,346.41/5,487.54
  6. Step 6: Final answer
    x = 5,260.17

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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.