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Finding the Fourth Proportional to 4,753.28, 7,130.53 and 1,832.42

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Solution

The fourth proportional to 4,753.28, 7,130.53 and 1,832.42 is: 2,748.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,753.28 : 7,130.53 = 1,832.42 : x
  2. Step 2: Convert to fraction form
    4,753.28/7,130.53 = 1,832.42/x
  3. Step 3: Cross multiply
    4,753.28x = 7,130.53 × 1,832.42
  4. Step 4: Simplify right side
    4,753.28x = 13,066,125.78
  5. Step 5: Solve for x
    x = 13,066,125.78/4,753.28
  6. Step 6: Final answer
    x = 2,748.87

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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.