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Finding the Fourth Proportional to 5,794.88, 8,681.12 and 3,814.55

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Solution

The fourth proportional to 5,794.88, 8,681.12 and 3,814.55 is: 5,714.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794.88 : 8,681.12 = 3,814.55 : x
  2. Step 2: Convert to fraction form
    5,794.88/8,681.12 = 3,814.55/x
  3. Step 3: Cross multiply
    5,794.88x = 8,681.12 × 3,814.55
  4. Step 4: Simplify right side
    5,794.88x = 33,114,596.55
  5. Step 5: Solve for x
    x = 33,114,596.55/5,794.88
  6. Step 6: Final answer
    x = 5,714.45

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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.