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Finding the Fourth Proportional to 4,894.38, 7,335.90 and 3,795.21

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Solution

The fourth proportional to 4,894.38, 7,335.90 and 3,795.21 is: 5,688.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.38 : 7,335.90 = 3,795.21 : x
  2. Step 2: Convert to fraction form
    4,894.38/7,335.90 = 3,795.21/x
  3. Step 3: Cross multiply
    4,894.38x = 7,335.90 × 3,795.21
  4. Step 4: Simplify right side
    4,894.38x = 27,841,281.04
  5. Step 5: Solve for x
    x = 27,841,281.04/4,894.38
  6. Step 6: Final answer
    x = 5,688.42

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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.