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Finding the Fourth Proportional to 6,125.60, 8,448 and 4,458.08

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Solution

The fourth proportional to 6,125.60, 8,448 and 4,458.08 is: 6,148.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,125.60 : 8,448 = 4,458.08 : x
  2. Step 2: Convert to fraction form
    6,125.60/8,448 = 4,458.08/x
  3. Step 3: Cross multiply
    6,125.60x = 8,448 × 4,458.08
  4. Step 4: Simplify right side
    6,125.60x = 37,661,859.84
  5. Step 5: Solve for x
    x = 37,661,859.84/6,125.60
  6. Step 6: Final answer
    x = 6,148.27

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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.