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Finding the Fourth Proportional to 3,610.70, 5,428.20 and 3,076.10

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Solution

The fourth proportional to 3,610.70, 5,428.20 and 3,076.10 is: 4,624.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,610.70 : 5,428.20 = 3,076.10 : x
  2. Step 2: Convert to fraction form
    3,610.70/5,428.20 = 3,076.10/x
  3. Step 3: Cross multiply
    3,610.70x = 5,428.20 × 3,076.10
  4. Step 4: Simplify right side
    3,610.70x = 16,697,686.02
  5. Step 5: Solve for x
    x = 16,697,686.02/3,610.70
  6. Step 6: Final answer
    x = 4,624.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.