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Finding the Fourth Proportional to 2,357.21, 3,536.73 and 713.92

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Solution

The fourth proportional to 2,357.21, 3,536.73 and 713.92 is: 1,071.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.21 : 3,536.73 = 713.92 : x
  2. Step 2: Convert to fraction form
    2,357.21/3,536.73 = 713.92/x
  3. Step 3: Cross multiply
    2,357.21x = 3,536.73 × 713.92
  4. Step 4: Simplify right side
    2,357.21x = 2,524,942.28
  5. Step 5: Solve for x
    x = 2,524,942.28/2,357.21
  6. Step 6: Final answer
    x = 1,071.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.