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Finding the Fourth Proportional to 5,212.54, 7,820.13 and 1,514.69

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Solution

The fourth proportional to 5,212.54, 7,820.13 and 1,514.69 is: 2,272.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.54 : 7,820.13 = 1,514.69 : x
  2. Step 2: Convert to fraction form
    5,212.54/7,820.13 = 1,514.69/x
  3. Step 3: Cross multiply
    5,212.54x = 7,820.13 × 1,514.69
  4. Step 4: Simplify right side
    5,212.54x = 11,845,072.71
  5. Step 5: Solve for x
    x = 11,845,072.71/5,212.54
  6. Step 6: Final answer
    x = 2,272.42

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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.