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Finding the Fourth Proportional to 5,649.13, 7,795.74 and 3,382.01

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Solution

The fourth proportional to 5,649.13, 7,795.74 and 3,382.01 is: 4,667.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.13 : 7,795.74 = 3,382.01 : x
  2. Step 2: Convert to fraction form
    5,649.13/7,795.74 = 3,382.01/x
  3. Step 3: Cross multiply
    5,649.13x = 7,795.74 × 3,382.01
  4. Step 4: Simplify right side
    5,649.13x = 26,365,270.64
  5. Step 5: Solve for x
    x = 26,365,270.64/5,649.13
  6. Step 6: Final answer
    x = 4,667.14

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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.