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Finding the Fourth Proportional to 5,154.36, 7,111.32 and 2,916

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Solution

The fourth proportional to 5,154.36, 7,111.32 and 2,916 is: 4,023.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154.36 : 7,111.32 = 2,916 : x
  2. Step 2: Convert to fraction form
    5,154.36/7,111.32 = 2,916/x
  3. Step 3: Cross multiply
    5,154.36x = 7,111.32 × 2,916
  4. Step 4: Simplify right side
    5,154.36x = 20,736,609.12
  5. Step 5: Solve for x
    x = 20,736,609.12/5,154.36
  6. Step 6: Final answer
    x = 4,023.12

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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.