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Finding the Fourth Proportional to 5,234.65, 7,850.45 and 1,536.19

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Solution

The fourth proportional to 5,234.65, 7,850.45 and 1,536.19 is: 2,303.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.65 : 7,850.45 = 1,536.19 : x
  2. Step 2: Convert to fraction form
    5,234.65/7,850.45 = 1,536.19/x
  3. Step 3: Cross multiply
    5,234.65x = 7,850.45 × 1,536.19
  4. Step 4: Simplify right side
    5,234.65x = 12,059,767.00
  5. Step 5: Solve for x
    x = 12,059,767.00/5,234.65
  6. Step 6: Final answer
    x = 2,303.84

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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.