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Finding the Fourth Proportional to 3,907.28, 5,855.16 and 3,496.40

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Solution

The fourth proportional to 3,907.28, 5,855.16 and 3,496.40 is: 5,239.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.28 : 5,855.16 = 3,496.40 : x
  2. Step 2: Convert to fraction form
    3,907.28/5,855.16 = 3,496.40/x
  3. Step 3: Cross multiply
    3,907.28x = 5,855.16 × 3,496.40
  4. Step 4: Simplify right side
    3,907.28x = 20,471,981.42
  5. Step 5: Solve for x
    x = 20,471,981.42/3,907.28
  6. Step 6: Final answer
    x = 5,239.45

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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.