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Finding the Fourth Proportional to 4,967.28, 7,454.16 and 1,889.28

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Solution

The fourth proportional to 4,967.28, 7,454.16 and 1,889.28 is: 2,835.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.28 : 7,454.16 = 1,889.28 : x
  2. Step 2: Convert to fraction form
    4,967.28/7,454.16 = 1,889.28/x
  3. Step 3: Cross multiply
    4,967.28x = 7,454.16 × 1,889.28
  4. Step 4: Simplify right side
    4,967.28x = 14,082,995.40
  5. Step 5: Solve for x
    x = 14,082,995.40/4,967.28
  6. Step 6: Final answer
    x = 2,835.15

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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.