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Finding the Fourth Proportional to 4,708.14, 7,049.23 and 3,145.99

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Solution

The fourth proportional to 4,708.14, 7,049.23 and 3,145.99 is: 4,710.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,708.14 : 7,049.23 = 3,145.99 : x
  2. Step 2: Convert to fraction form
    4,708.14/7,049.23 = 3,145.99/x
  3. Step 3: Cross multiply
    4,708.14x = 7,049.23 × 3,145.99
  4. Step 4: Simplify right side
    4,708.14x = 22,176,781.60
  5. Step 5: Solve for x
    x = 22,176,781.60/4,708.14
  6. Step 6: Final answer
    x = 4,710.31

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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.