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Finding the Fourth Proportional to 3,610.76, 5,416.44 and 1,013.70

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Solution

The fourth proportional to 3,610.76, 5,416.44 and 1,013.70 is: 1,520.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,610.76 : 5,416.44 = 1,013.70 : x
  2. Step 2: Convert to fraction form
    3,610.76/5,416.44 = 1,013.70/x
  3. Step 3: Cross multiply
    3,610.76x = 5,416.44 × 1,013.70
  4. Step 4: Simplify right side
    3,610.76x = 5,490,645.23
  5. Step 5: Solve for x
    x = 5,490,645.23/3,610.76
  6. Step 6: Final answer
    x = 1,520.63

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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.