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Finding the Fourth Proportional to 4,913.73, 7,373.63 and 1,992.06

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Solution

The fourth proportional to 4,913.73, 7,373.63 and 1,992.06 is: 2,989.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,913.73 : 7,373.63 = 1,992.06 : x
  2. Step 2: Convert to fraction form
    4,913.73/7,373.63 = 1,992.06/x
  3. Step 3: Cross multiply
    4,913.73x = 7,373.63 × 1,992.06
  4. Step 4: Simplify right side
    4,913.73x = 14,688,713.38
  5. Step 5: Solve for x
    x = 14,688,713.38/4,913.73
  6. Step 6: Final answer
    x = 2,989.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.