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Finding the Fourth Proportional to 4,892.16, 7,334.76 and 2,293.68

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Solution

The fourth proportional to 4,892.16, 7,334.76 and 2,293.68 is: 3,438.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,892.16 : 7,334.76 = 2,293.68 : x
  2. Step 2: Convert to fraction form
    4,892.16/7,334.76 = 2,293.68/x
  3. Step 3: Cross multiply
    4,892.16x = 7,334.76 × 2,293.68
  4. Step 4: Simplify right side
    4,892.16x = 16,823,592.32
  5. Step 5: Solve for x
    x = 16,823,592.32/4,892.16
  6. Step 6: Final answer
    x = 3,438.89

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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.