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Finding the Fourth Proportional to 4,892.04, 7,338 and 2,293.14

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Solution

The fourth proportional to 4,892.04, 7,338 and 2,293.14 is: 3,439.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,892.04 : 7,338 = 2,293.14 : x
  2. Step 2: Convert to fraction form
    4,892.04/7,338 = 2,293.14/x
  3. Step 3: Cross multiply
    4,892.04x = 7,338 × 2,293.14
  4. Step 4: Simplify right side
    4,892.04x = 16,827,061.32
  5. Step 5: Solve for x
    x = 16,827,061.32/4,892.04
  6. Step 6: Final answer
    x = 3,439.68

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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.