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Finding the Fourth Proportional to 3,610.65, 5,416.52 and 1,530.66

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Solution

The fourth proportional to 3,610.65, 5,416.52 and 1,530.66 is: 2,296.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,610.65 : 5,416.52 = 1,530.66 : x
  2. Step 2: Convert to fraction form
    3,610.65/5,416.52 = 1,530.66/x
  3. Step 3: Cross multiply
    3,610.65x = 5,416.52 × 1,530.66
  4. Step 4: Simplify right side
    3,610.65x = 8,290,850.50
  5. Step 5: Solve for x
    x = 8,290,850.50/3,610.65
  6. Step 6: Final answer
    x = 2,296.22

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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.