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Finding the Fourth Proportional to 4,966.32, 7,449 and 1,679.28

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Solution

The fourth proportional to 4,966.32, 7,449 and 1,679.28 is: 2,518.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.32 : 7,449 = 1,679.28 : x
  2. Step 2: Convert to fraction form
    4,966.32/7,449 = 1,679.28/x
  3. Step 3: Cross multiply
    4,966.32x = 7,449 × 1,679.28
  4. Step 4: Simplify right side
    4,966.32x = 12,508,956.72
  5. Step 5: Solve for x
    x = 12,508,956.72/4,966.32
  6. Step 6: Final answer
    x = 2,518.76

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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.