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Finding the Fourth Proportional to 4,713.18, 7,071.02 and 2,081.24

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Solution

The fourth proportional to 4,713.18, 7,071.02 and 2,081.24 is: 3,122.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.18 : 7,071.02 = 2,081.24 : x
  2. Step 2: Convert to fraction form
    4,713.18/7,071.02 = 2,081.24/x
  3. Step 3: Cross multiply
    4,713.18x = 7,071.02 × 2,081.24
  4. Step 4: Simplify right side
    4,713.18x = 14,716,443.90
  5. Step 5: Solve for x
    x = 14,716,443.90/4,713.18
  6. Step 6: Final answer
    x = 3,122.40

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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.