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Finding the Fourth Proportional to 3,514.69, 5,274.15 and 1,567.05

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Solution

The fourth proportional to 3,514.69, 5,274.15 and 1,567.05 is: 2,351.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,514.69 : 5,274.15 = 1,567.05 : x
  2. Step 2: Convert to fraction form
    3,514.69/5,274.15 = 1,567.05/x
  3. Step 3: Cross multiply
    3,514.69x = 5,274.15 × 1,567.05
  4. Step 4: Simplify right side
    3,514.69x = 8,264,856.76
  5. Step 5: Solve for x
    x = 8,264,856.76/3,514.69
  6. Step 6: Final answer
    x = 2,351.52

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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.