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Finding the Fourth Proportional to 4,749.28, 7,123.16 and 1,285.76

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Solution

The fourth proportional to 4,749.28, 7,123.16 and 1,285.76 is: 1,928.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,749.28 : 7,123.16 = 1,285.76 : x
  2. Step 2: Convert to fraction form
    4,749.28/7,123.16 = 1,285.76/x
  3. Step 3: Cross multiply
    4,749.28x = 7,123.16 × 1,285.76
  4. Step 4: Simplify right side
    4,749.28x = 9,158,674.20
  5. Step 5: Solve for x
    x = 9,158,674.20/4,749.28
  6. Step 6: Final answer
    x = 1,928.43

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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.