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Finding the Fourth Proportional to 4,938.03, 7,406.64 and 1,475.28

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Solution

The fourth proportional to 4,938.03, 7,406.64 and 1,475.28 is: 2,212.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,938.03 : 7,406.64 = 1,475.28 : x
  2. Step 2: Convert to fraction form
    4,938.03/7,406.64 = 1,475.28/x
  3. Step 3: Cross multiply
    4,938.03x = 7,406.64 × 1,475.28
  4. Step 4: Simplify right side
    4,938.03x = 10,926,867.86
  5. Step 5: Solve for x
    x = 10,926,867.86/4,938.03
  6. Step 6: Final answer
    x = 2,212.80

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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.