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Finding the Fourth Proportional to 5,693.40, 8,544.42 and 3,840.12

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Solution

The fourth proportional to 5,693.40, 8,544.42 and 3,840.12 is: 5,763.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.40 : 8,544.42 = 3,840.12 : x
  2. Step 2: Convert to fraction form
    5,693.40/8,544.42 = 3,840.12/x
  3. Step 3: Cross multiply
    5,693.40x = 8,544.42 × 3,840.12
  4. Step 4: Simplify right side
    5,693.40x = 32,811,598.13
  5. Step 5: Solve for x
    x = 32,811,598.13/5,693.40
  6. Step 6: Final answer
    x = 5,763.09

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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.