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Finding the Fourth Proportional to 4,458.26, 6,148.29 and 3,828.58

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Solution

The fourth proportional to 4,458.26, 6,148.29 and 3,828.58 is: 5,279.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,458.26 : 6,148.29 = 3,828.58 : x
  2. Step 2: Convert to fraction form
    4,458.26/6,148.29 = 3,828.58/x
  3. Step 3: Cross multiply
    4,458.26x = 6,148.29 × 3,828.58
  4. Step 4: Simplify right side
    4,458.26x = 23,539,220.13
  5. Step 5: Solve for x
    x = 23,539,220.13/4,458.26
  6. Step 6: Final answer
    x = 5,279.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.