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Finding the Fourth Proportional to 5,837.07, 8,704.20 and 5,784.42

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Solution

The fourth proportional to 5,837.07, 8,704.20 and 5,784.42 is: 8,625.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,837.07 : 8,704.20 = 5,784.42 : x
  2. Step 2: Convert to fraction form
    5,837.07/8,704.20 = 5,784.42/x
  3. Step 3: Cross multiply
    5,837.07x = 8,704.20 × 5,784.42
  4. Step 4: Simplify right side
    5,837.07x = 50,348,726.87
  5. Step 5: Solve for x
    x = 50,348,726.87/5,837.07
  6. Step 6: Final answer
    x = 8,625.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.