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Finding the Fourth Proportional to 4,308, 5,908.48 and 4,257.12

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Solution

The fourth proportional to 4,308, 5,908.48 and 4,257.12 is: 5,838.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,308 : 5,908.48 = 4,257.12 : x
  2. Step 2: Convert to fraction form
    4,308/5,908.48 = 4,257.12/x
  3. Step 3: Cross multiply
    4,308x = 5,908.48 × 4,257.12
  4. Step 4: Simplify right side
    4,308x = 25,153,108.38
  5. Step 5: Solve for x
    x = 25,153,108.38/4,308
  6. Step 6: Final answer
    x = 5,838.70

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.