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Finding the Fourth Proportional to 3,610.02, 5,415.30 and 1,013.16

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Solution

The fourth proportional to 3,610.02, 5,415.30 and 1,013.16 is: 1,519.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,610.02 : 5,415.30 = 1,013.16 : x
  2. Step 2: Convert to fraction form
    3,610.02/5,415.30 = 1,013.16/x
  3. Step 3: Cross multiply
    3,610.02x = 5,415.30 × 1,013.16
  4. Step 4: Simplify right side
    3,610.02x = 5,486,565.35
  5. Step 5: Solve for x
    x = 5,486,565.35/3,610.02
  6. Step 6: Final answer
    x = 1,519.82

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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.