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Finding the Fourth Proportional to 4,456.26, 6,145.53 and 3,826.58

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Solution

The fourth proportional to 4,456.26, 6,145.53 and 3,826.58 is: 5,277.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,456.26 : 6,145.53 = 3,826.58 : x
  2. Step 2: Convert to fraction form
    4,456.26/6,145.53 = 3,826.58/x
  3. Step 3: Cross multiply
    4,456.26x = 6,145.53 × 3,826.58
  4. Step 4: Simplify right side
    4,456.26x = 23,516,331.46
  5. Step 5: Solve for x
    x = 23,516,331.46/4,456.26
  6. Step 6: Final answer
    x = 5,277.15

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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.