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Finding the Fourth Proportional to 4,095.96, 5,646 and 3,756.96

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Solution

The fourth proportional to 4,095.96, 5,646 and 3,756.96 is: 5,178.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,095.96 : 5,646 = 3,756.96 : x
  2. Step 2: Convert to fraction form
    4,095.96/5,646 = 3,756.96/x
  3. Step 3: Cross multiply
    4,095.96x = 5,646 × 3,756.96
  4. Step 4: Simplify right side
    4,095.96x = 21,211,796.16
  5. Step 5: Solve for x
    x = 21,211,796.16/4,095.96
  6. Step 6: Final answer
    x = 5,178.71

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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.