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Finding the Fourth Proportional to 4,892.38, 6,752.58 and 3,828.04

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Solution

The fourth proportional to 4,892.38, 6,752.58 and 3,828.04 is: 5,283.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,892.38 : 6,752.58 = 3,828.04 : x
  2. Step 2: Convert to fraction form
    4,892.38/6,752.58 = 3,828.04/x
  3. Step 3: Cross multiply
    4,892.38x = 6,752.58 × 3,828.04
  4. Step 4: Simplify right side
    4,892.38x = 25,849,146.34
  5. Step 5: Solve for x
    x = 25,849,146.34/4,892.38
  6. Step 6: Final answer
    x = 5,283.55

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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.