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Finding the Fourth Proportional to 5,788.53, 7,984.58 and 3,429

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Solution

The fourth proportional to 5,788.53, 7,984.58 and 3,429 is: 4,729.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,788.53 : 7,984.58 = 3,429 : x
  2. Step 2: Convert to fraction form
    5,788.53/7,984.58 = 3,429/x
  3. Step 3: Cross multiply
    5,788.53x = 7,984.58 × 3,429
  4. Step 4: Simplify right side
    5,788.53x = 27,379,107.68
  5. Step 5: Solve for x
    x = 27,379,107.68/5,788.53
  6. Step 6: Final answer
    x = 4,729.89

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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.