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Finding the Fourth Proportional to 3,610.80, 5,416.08 and 1,013.76

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Solution

The fourth proportional to 3,610.80, 5,416.08 and 1,013.76 is: 1,520.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,610.80 : 5,416.08 = 1,013.76 : x
  2. Step 2: Convert to fraction form
    3,610.80/5,416.08 = 1,013.76/x
  3. Step 3: Cross multiply
    3,610.80x = 5,416.08 × 1,013.76
  4. Step 4: Simplify right side
    3,610.80x = 5,490,605.26
  5. Step 5: Solve for x
    x = 5,490,605.26/3,610.80
  6. Step 6: Final answer
    x = 1,520.61

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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.