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Finding the Fourth Proportional to 4,707.81, 7,071.12 and 2,953.94

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Solution

The fourth proportional to 4,707.81, 7,071.12 and 2,953.94 is: 4,436.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.81 : 7,071.12 = 2,953.94 : x
  2. Step 2: Convert to fraction form
    4,707.81/7,071.12 = 2,953.94/x
  3. Step 3: Cross multiply
    4,707.81x = 7,071.12 × 2,953.94
  4. Step 4: Simplify right side
    4,707.81x = 20,887,628.86
  5. Step 5: Solve for x
    x = 20,887,628.86/4,707.81
  6. Step 6: Final answer
    x = 4,436.80

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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.