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Finding the Fourth Proportional to 4,720.79, 7,071.46 and 2,768.28

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Solution

The fourth proportional to 4,720.79, 7,071.46 and 2,768.28 is: 4,146.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,720.79 : 7,071.46 = 2,768.28 : x
  2. Step 2: Convert to fraction form
    4,720.79/7,071.46 = 2,768.28/x
  3. Step 3: Cross multiply
    4,720.79x = 7,071.46 × 2,768.28
  4. Step 4: Simplify right side
    4,720.79x = 19,575,798.97
  5. Step 5: Solve for x
    x = 19,575,798.97/4,720.79
  6. Step 6: Final answer
    x = 4,146.72

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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.