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Finding the Fourth Proportional to 5,076.40, 7,610.46 and 3,223.72

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Solution

The fourth proportional to 5,076.40, 7,610.46 and 3,223.72 is: 4,832.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,076.40 : 7,610.46 = 3,223.72 : x
  2. Step 2: Convert to fraction form
    5,076.40/7,610.46 = 3,223.72/x
  3. Step 3: Cross multiply
    5,076.40x = 7,610.46 × 3,223.72
  4. Step 4: Simplify right side
    5,076.40x = 24,533,992.11
  5. Step 5: Solve for x
    x = 24,533,992.11/5,076.40
  6. Step 6: Final answer
    x = 4,832.95

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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.