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Finding the Fourth Proportional to 5,815.34, 8,723.62 and 1,865.64

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Solution

The fourth proportional to 5,815.34, 8,723.62 and 1,865.64 is: 2,798.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,815.34 : 8,723.62 = 1,865.64 : x
  2. Step 2: Convert to fraction form
    5,815.34/8,723.62 = 1,865.64/x
  3. Step 3: Cross multiply
    5,815.34x = 8,723.62 × 1,865.64
  4. Step 4: Simplify right side
    5,815.34x = 16,275,134.42
  5. Step 5: Solve for x
    x = 16,275,134.42/5,815.34
  6. Step 6: Final answer
    x = 2,798.66

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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.