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Finding the Fourth Proportional to 5,675.60, 8,497.38 and 3,823.04

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Solution

The fourth proportional to 5,675.60, 8,497.38 and 3,823.04 is: 5,723.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,675.60 : 8,497.38 = 3,823.04 : x
  2. Step 2: Convert to fraction form
    5,675.60/8,497.38 = 3,823.04/x
  3. Step 3: Cross multiply
    5,675.60x = 8,497.38 × 3,823.04
  4. Step 4: Simplify right side
    5,675.60x = 32,485,823.64
  5. Step 5: Solve for x
    x = 32,485,823.64/5,675.60
  6. Step 6: Final answer
    x = 5,723.77

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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.