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Finding the Fourth Proportional to 4,152.66, 5,736.24 and 3,857.40

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Solution

The fourth proportional to 4,152.66, 5,736.24 and 3,857.40 is: 5,328.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,152.66 : 5,736.24 = 3,857.40 : x
  2. Step 2: Convert to fraction form
    4,152.66/5,736.24 = 3,857.40/x
  3. Step 3: Cross multiply
    4,152.66x = 5,736.24 × 3,857.40
  4. Step 4: Simplify right side
    4,152.66x = 22,126,972.18
  5. Step 5: Solve for x
    x = 22,126,972.18/4,152.66
  6. Step 6: Final answer
    x = 5,328.39

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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.