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Finding the Fourth Proportional to 4,928.28, 7,395.14 and 2,008.64

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Solution

The fourth proportional to 4,928.28, 7,395.14 and 2,008.64 is: 3,014.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,928.28 : 7,395.14 = 2,008.64 : x
  2. Step 2: Convert to fraction form
    4,928.28/7,395.14 = 2,008.64/x
  3. Step 3: Cross multiply
    4,928.28x = 7,395.14 × 2,008.64
  4. Step 4: Simplify right side
    4,928.28x = 14,854,174.01
  5. Step 5: Solve for x
    x = 14,854,174.01/4,928.28
  6. Step 6: Final answer
    x = 3,014.07

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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.