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Finding the Fourth Proportional to 5,095.65, 7,633.05 and 4,161.93

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Solution

The fourth proportional to 5,095.65, 7,633.05 and 4,161.93 is: 6,234.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,095.65 : 7,633.05 = 4,161.93 : x
  2. Step 2: Convert to fraction form
    5,095.65/7,633.05 = 4,161.93/x
  3. Step 3: Cross multiply
    5,095.65x = 7,633.05 × 4,161.93
  4. Step 4: Simplify right side
    5,095.65x = 31,768,219.79
  5. Step 5: Solve for x
    x = 31,768,219.79/5,095.65
  6. Step 6: Final answer
    x = 6,234.38

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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.