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Finding the Fourth Proportional to 3,832.12, 5,748.18 and 1,234.72

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Solution

The fourth proportional to 3,832.12, 5,748.18 and 1,234.72 is: 1,852.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.12 : 5,748.18 = 1,234.72 : x
  2. Step 2: Convert to fraction form
    3,832.12/5,748.18 = 1,234.72/x
  3. Step 3: Cross multiply
    3,832.12x = 5,748.18 × 1,234.72
  4. Step 4: Simplify right side
    3,832.12x = 7,097,392.81
  5. Step 5: Solve for x
    x = 7,097,392.81/3,832.12
  6. Step 6: Final answer
    x = 1,852.08

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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.