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Finding the Fourth Proportional to 4,697.66, 7,049.91 and 3,784.25

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Solution

The fourth proportional to 4,697.66, 7,049.91 and 3,784.25 is: 5,679.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.66 : 7,049.91 = 3,784.25 : x
  2. Step 2: Convert to fraction form
    4,697.66/7,049.91 = 3,784.25/x
  3. Step 3: Cross multiply
    4,697.66x = 7,049.91 × 3,784.25
  4. Step 4: Simplify right side
    4,697.66x = 26,678,653.73
  5. Step 5: Solve for x
    x = 26,678,653.73/4,697.66
  6. Step 6: Final answer
    x = 5,679.13

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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.