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Finding the Fourth Proportional to 5,827.69, 8,042.16 and 3,175.09

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Solution

The fourth proportional to 5,827.69, 8,042.16 and 3,175.09 is: 4,381.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.69 : 8,042.16 = 3,175.09 : x
  2. Step 2: Convert to fraction form
    5,827.69/8,042.16 = 3,175.09/x
  3. Step 3: Cross multiply
    5,827.69x = 8,042.16 × 3,175.09
  4. Step 4: Simplify right side
    5,827.69x = 25,534,581.79
  5. Step 5: Solve for x
    x = 25,534,581.79/5,827.69
  6. Step 6: Final answer
    x = 4,381.60

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1.5x scale

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.