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Finding the Fourth Proportional to 5,262.81, 7,894.14 and 1,514.68

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Solution

The fourth proportional to 5,262.81, 7,894.14 and 1,514.68 is: 2,272.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,262.81 : 7,894.14 = 1,514.68 : x
  2. Step 2: Convert to fraction form
    5,262.81/7,894.14 = 1,514.68/x
  3. Step 3: Cross multiply
    5,262.81x = 7,894.14 × 1,514.68
  4. Step 4: Simplify right side
    5,262.81x = 11,957,070.56
  5. Step 5: Solve for x
    x = 11,957,070.56/5,262.81
  6. Step 6: Final answer
    x = 2,272.00

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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.