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Finding the Fourth Proportional to 3,710.96, 5,566.42 and 1,519.69

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Solution

The fourth proportional to 3,710.96, 5,566.42 and 1,519.69 is: 2,279.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.96 : 5,566.42 = 1,519.69 : x
  2. Step 2: Convert to fraction form
    3,710.96/5,566.42 = 1,519.69/x
  3. Step 3: Cross multiply
    3,710.96x = 5,566.42 × 1,519.69
  4. Step 4: Simplify right side
    3,710.96x = 8,459,232.81
  5. Step 5: Solve for x
    x = 8,459,232.81/3,710.96
  6. Step 6: Final answer
    x = 2,279.53

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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.