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Finding the Fourth Proportional to 5,674.12, 8,507.86 and 3,802.12

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Solution

The fourth proportional to 5,674.12, 8,507.86 and 3,802.12 is: 5,700.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.12 : 8,507.86 = 3,802.12 : x
  2. Step 2: Convert to fraction form
    5,674.12/8,507.86 = 3,802.12/x
  3. Step 3: Cross multiply
    5,674.12x = 8,507.86 × 3,802.12
  4. Step 4: Simplify right side
    5,674.12x = 32,347,904.66
  5. Step 5: Solve for x
    x = 32,347,904.66/5,674.12
  6. Step 6: Final answer
    x = 5,700.96

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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.