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Finding the Fourth Proportional to 4,992.50, 6,892.35 and 3,003.50

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Solution

The fourth proportional to 4,992.50, 6,892.35 and 3,003.50 is: 4,146.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,992.50 : 6,892.35 = 3,003.50 : x
  2. Step 2: Convert to fraction form
    4,992.50/6,892.35 = 3,003.50/x
  3. Step 3: Cross multiply
    4,992.50x = 6,892.35 × 3,003.50
  4. Step 4: Simplify right side
    4,992.50x = 20,701,173.23
  5. Step 5: Solve for x
    x = 20,701,173.23/4,992.50
  6. Step 6: Final answer
    x = 4,146.45

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Why These Related Problems?

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