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Finding the Fourth Proportional to 5,746.64, 7,914.48 and 5,450

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Solution

The fourth proportional to 5,746.64, 7,914.48 and 5,450 is: 7,505.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.64 : 7,914.48 = 5,450 : x
  2. Step 2: Convert to fraction form
    5,746.64/7,914.48 = 5,450/x
  3. Step 3: Cross multiply
    5,746.64x = 7,914.48 × 5,450
  4. Step 4: Simplify right side
    5,746.64x = 43,133,916
  5. Step 5: Solve for x
    x = 43,133,916/5,746.64
  6. Step 6: Final answer
    x = 7,505.94

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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.