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Finding the Fourth Proportional to 4,825.04, 6,649.64 and 3,938

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Solution

The fourth proportional to 4,825.04, 6,649.64 and 3,938 is: 5,427.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,825.04 : 6,649.64 = 3,938 : x
  2. Step 2: Convert to fraction form
    4,825.04/6,649.64 = 3,938/x
  3. Step 3: Cross multiply
    4,825.04x = 6,649.64 × 3,938
  4. Step 4: Simplify right side
    4,825.04x = 26,186,282.32
  5. Step 5: Solve for x
    x = 26,186,282.32/4,825.04
  6. Step 6: Final answer
    x = 5,427.16

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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.