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Finding the Fourth Proportional to 5,580.63, 7,704.32 and 3,814.83

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Solution

The fourth proportional to 5,580.63, 7,704.32 and 3,814.83 is: 5,266.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,580.63 : 7,704.32 = 3,814.83 : x
  2. Step 2: Convert to fraction form
    5,580.63/7,704.32 = 3,814.83/x
  3. Step 3: Cross multiply
    5,580.63x = 7,704.32 × 3,814.83
  4. Step 4: Simplify right side
    5,580.63x = 29,390,651.99
  5. Step 5: Solve for x
    x = 29,390,651.99/5,580.63
  6. Step 6: Final answer
    x = 5,266.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.