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Finding the Fourth Proportional to 5,970.20, 8,936.78 and 5,084.46

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Solution

The fourth proportional to 5,970.20, 8,936.78 and 5,084.46 is: 7,610.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,970.20 : 8,936.78 = 5,084.46 : x
  2. Step 2: Convert to fraction form
    5,970.20/8,936.78 = 5,084.46/x
  3. Step 3: Cross multiply
    5,970.20x = 8,936.78 × 5,084.46
  4. Step 4: Simplify right side
    5,970.20x = 45,438,675.02
  5. Step 5: Solve for x
    x = 45,438,675.02/5,970.20
  6. Step 6: Final answer
    x = 7,610.92

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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.