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Finding the Fourth Proportional to 4,590.27, 6,864.75 and 4,099.68

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Solution

The fourth proportional to 4,590.27, 6,864.75 and 4,099.68 is: 6,131.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,590.27 : 6,864.75 = 4,099.68 : x
  2. Step 2: Convert to fraction form
    4,590.27/6,864.75 = 4,099.68/x
  3. Step 3: Cross multiply
    4,590.27x = 6,864.75 × 4,099.68
  4. Step 4: Simplify right side
    4,590.27x = 28,143,278.28
  5. Step 5: Solve for x
    x = 28,143,278.28/4,590.27
  6. Step 6: Final answer
    x = 6,131.07

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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.