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Finding the Fourth Proportional to 4,712.88, 7,071.66 and 3,335.07

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Solution

The fourth proportional to 4,712.88, 7,071.66 and 3,335.07 is: 5,004.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712.88 : 7,071.66 = 3,335.07 : x
  2. Step 2: Convert to fraction form
    4,712.88/7,071.66 = 3,335.07/x
  3. Step 3: Cross multiply
    4,712.88x = 7,071.66 × 3,335.07
  4. Step 4: Simplify right side
    4,712.88x = 23,584,481.12
  5. Step 5: Solve for x
    x = 23,584,481.12/4,712.88
  6. Step 6: Final answer
    x = 5,004.26

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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.