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Finding the Fourth Proportional to 5,616.08, 7,751.44 and 3,752

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Solution

The fourth proportional to 5,616.08, 7,751.44 and 3,752 is: 5,178.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616.08 : 7,751.44 = 3,752 : x
  2. Step 2: Convert to fraction form
    5,616.08/7,751.44 = 3,752/x
  3. Step 3: Cross multiply
    5,616.08x = 7,751.44 × 3,752
  4. Step 4: Simplify right side
    5,616.08x = 29,083,402.88
  5. Step 5: Solve for x
    x = 29,083,402.88/5,616.08
  6. Step 6: Final answer
    x = 5,178.59

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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.