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Finding the Fourth Proportional to 4,939.84, 7,402.08 and 3,112

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Solution

The fourth proportional to 4,939.84, 7,402.08 and 3,112 is: 4,663.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,939.84 : 7,402.08 = 3,112 : x
  2. Step 2: Convert to fraction form
    4,939.84/7,402.08 = 3,112/x
  3. Step 3: Cross multiply
    4,939.84x = 7,402.08 × 3,112
  4. Step 4: Simplify right side
    4,939.84x = 23,035,272.96
  5. Step 5: Solve for x
    x = 23,035,272.96/4,939.84
  6. Step 6: Final answer
    x = 4,663.16

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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.