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Finding the Fourth Proportional to 4,997.28, 7,495.92 and 1,534.56

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Solution

The fourth proportional to 4,997.28, 7,495.92 and 1,534.56 is: 2,301.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,997.28 : 7,495.92 = 1,534.56 : x
  2. Step 2: Convert to fraction form
    4,997.28/7,495.92 = 1,534.56/x
  3. Step 3: Cross multiply
    4,997.28x = 7,495.92 × 1,534.56
  4. Step 4: Simplify right side
    4,997.28x = 11,502,939.00
  5. Step 5: Solve for x
    x = 11,502,939.00/4,997.28
  6. Step 6: Final answer
    x = 2,301.84

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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.