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Finding the Fourth Proportional to 4,636.36, 6,943.56 and 3,655.90

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Solution

The fourth proportional to 4,636.36, 6,943.56 and 3,655.90 is: 5,475.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,636.36 : 6,943.56 = 3,655.90 : x
  2. Step 2: Convert to fraction form
    4,636.36/6,943.56 = 3,655.90/x
  3. Step 3: Cross multiply
    4,636.36x = 6,943.56 × 3,655.90
  4. Step 4: Simplify right side
    4,636.36x = 25,384,961.00
  5. Step 5: Solve for x
    x = 25,384,961.00/4,636.36
  6. Step 6: Final answer
    x = 5,475.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.