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Finding the Fourth Proportional to 5,161.24, 7,742.16 and 1,874.68

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Solution

The fourth proportional to 5,161.24, 7,742.16 and 1,874.68 is: 2,812.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,161.24 : 7,742.16 = 1,874.68 : x
  2. Step 2: Convert to fraction form
    5,161.24/7,742.16 = 1,874.68/x
  3. Step 3: Cross multiply
    5,161.24x = 7,742.16 × 1,874.68
  4. Step 4: Simplify right side
    5,161.24x = 14,514,072.51
  5. Step 5: Solve for x
    x = 14,514,072.51/5,161.24
  6. Step 6: Final answer
    x = 2,812.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.