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Finding the Fourth Proportional to 4,727.52, 7,083.90 and 2,992.50

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Solution

The fourth proportional to 4,727.52, 7,083.90 and 2,992.50 is: 4,484.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,727.52 : 7,083.90 = 2,992.50 : x
  2. Step 2: Convert to fraction form
    4,727.52/7,083.90 = 2,992.50/x
  3. Step 3: Cross multiply
    4,727.52x = 7,083.90 × 2,992.50
  4. Step 4: Simplify right side
    4,727.52x = 21,198,570.75
  5. Step 5: Solve for x
    x = 21,198,570.75/4,727.52
  6. Step 6: Final answer
    x = 4,484.08

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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.