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Finding the Fourth Proportional to 4,825.13, 7,221.24 and 4,046.00

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Solution

The fourth proportional to 4,825.13, 7,221.24 and 4,046.00 is: 6,055.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,825.13 : 7,221.24 = 4,046.00 : x
  2. Step 2: Convert to fraction form
    4,825.13/7,221.24 = 4,046.00/x
  3. Step 3: Cross multiply
    4,825.13x = 7,221.24 × 4,046.00
  4. Step 4: Simplify right side
    4,825.13x = 29,217,100.93
  5. Step 5: Solve for x
    x = 29,217,100.93/4,825.13
  6. Step 6: Final answer
    x = 6,055.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.