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Finding the Fourth Proportional to 5,448.92, 7,523.72 and 4,188

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Solution

The fourth proportional to 5,448.92, 7,523.72 and 4,188 is: 5,782.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,448.92 : 7,523.72 = 4,188 : x
  2. Step 2: Convert to fraction form
    5,448.92/7,523.72 = 4,188/x
  3. Step 3: Cross multiply
    5,448.92x = 7,523.72 × 4,188
  4. Step 4: Simplify right side
    5,448.92x = 31,509,339.36
  5. Step 5: Solve for x
    x = 31,509,339.36/5,448.92
  6. Step 6: Final answer
    x = 5,782.68

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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.