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Finding the Fourth Proportional to 4,983.64, 7,457 and 3,668.36

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Solution

The fourth proportional to 4,983.64, 7,457 and 3,668.36 is: 5,488.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,983.64 : 7,457 = 3,668.36 : x
  2. Step 2: Convert to fraction form
    4,983.64/7,457 = 3,668.36/x
  3. Step 3: Cross multiply
    4,983.64x = 7,457 × 3,668.36
  4. Step 4: Simplify right side
    4,983.64x = 27,354,960.52
  5. Step 5: Solve for x
    x = 27,354,960.52/4,983.64
  6. Step 6: Final answer
    x = 5,488.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.