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Finding the Fourth Proportional to 4,953.92, 6,835.74 and 2,964.02

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Solution

The fourth proportional to 4,953.92, 6,835.74 and 2,964.02 is: 4,089.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,953.92 : 6,835.74 = 2,964.02 : x
  2. Step 2: Convert to fraction form
    4,953.92/6,835.74 = 2,964.02/x
  3. Step 3: Cross multiply
    4,953.92x = 6,835.74 × 2,964.02
  4. Step 4: Simplify right side
    4,953.92x = 20,261,270.07
  5. Step 5: Solve for x
    x = 20,261,270.07/4,953.92
  6. Step 6: Final answer
    x = 4,089.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.