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Finding the Fourth Proportional to 5,651, 7,798.38 and 3,293.14

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Solution

The fourth proportional to 5,651, 7,798.38 and 3,293.14 is: 4,544.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,651 : 7,798.38 = 3,293.14 : x
  2. Step 2: Convert to fraction form
    5,651/7,798.38 = 3,293.14/x
  3. Step 3: Cross multiply
    5,651x = 7,798.38 × 3,293.14
  4. Step 4: Simplify right side
    5,651x = 25,681,157.11
  5. Step 5: Solve for x
    x = 25,681,157.11/5,651
  6. Step 6: Final answer
    x = 4,544.53

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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.