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Finding the Fourth Proportional to 4,754.28, 7,129.26 and 1,466.76

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Solution

The fourth proportional to 4,754.28, 7,129.26 and 1,466.76 is: 2,199.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,754.28 : 7,129.26 = 1,466.76 : x
  2. Step 2: Convert to fraction form
    4,754.28/7,129.26 = 1,466.76/x
  3. Step 3: Cross multiply
    4,754.28x = 7,129.26 × 1,466.76
  4. Step 4: Simplify right side
    4,754.28x = 10,456,913.40
  5. Step 5: Solve for x
    x = 10,456,913.40/4,754.28
  6. Step 6: Final answer
    x = 2,199.47

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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.