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Finding the Fourth Proportional to 5,802.14, 8,704.74 and 2,514.47

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Solution

The fourth proportional to 5,802.14, 8,704.74 and 2,514.47 is: 3,772.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.14 : 8,704.74 = 2,514.47 : x
  2. Step 2: Convert to fraction form
    5,802.14/8,704.74 = 2,514.47/x
  3. Step 3: Cross multiply
    5,802.14x = 8,704.74 × 2,514.47
  4. Step 4: Simplify right side
    5,802.14x = 21,887,807.59
  5. Step 5: Solve for x
    x = 21,887,807.59/5,802.14
  6. Step 6: Final answer
    x = 3,772.37

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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.