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Finding the Fourth Proportional to 4,405, 6,595.20 and 3,634.28

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Solution

The fourth proportional to 4,405, 6,595.20 and 3,634.28 is: 5,441.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,405 : 6,595.20 = 3,634.28 : x
  2. Step 2: Convert to fraction form
    4,405/6,595.20 = 3,634.28/x
  3. Step 3: Cross multiply
    4,405x = 6,595.20 × 3,634.28
  4. Step 4: Simplify right side
    4,405x = 23,968,803.46
  5. Step 5: Solve for x
    x = 23,968,803.46/4,405
  6. Step 6: Final answer
    x = 5,441.27

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