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Finding the Fourth Proportional to 5,832, 8,048.63 and 3,314.93

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Solution

The fourth proportional to 5,832, 8,048.63 and 3,314.93 is: 4,574.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,832 : 8,048.63 = 3,314.93 : x
  2. Step 2: Convert to fraction form
    5,832/8,048.63 = 3,314.93/x
  3. Step 3: Cross multiply
    5,832x = 8,048.63 × 3,314.93
  4. Step 4: Simplify right side
    5,832x = 26,680,613.09
  5. Step 5: Solve for x
    x = 26,680,613.09/5,832
  6. Step 6: Final answer
    x = 4,574.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.