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Finding the Fourth Proportional to 4,713.12, 7,071.84 and 2,406.24

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Solution

The fourth proportional to 4,713.12, 7,071.84 and 2,406.24 is: 3,610.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.12 : 7,071.84 = 2,406.24 : x
  2. Step 2: Convert to fraction form
    4,713.12/7,071.84 = 2,406.24/x
  3. Step 3: Cross multiply
    4,713.12x = 7,071.84 × 2,406.24
  4. Step 4: Simplify right side
    4,713.12x = 17,016,544.28
  5. Step 5: Solve for x
    x = 17,016,544.28/4,713.12
  6. Step 6: Final answer
    x = 3,610.46

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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.