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Finding the Fourth Proportional to 3,136.41, 4,708.02 and 2,358.63

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Solution

The fourth proportional to 3,136.41, 4,708.02 and 2,358.63 is: 3,540.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.41 : 4,708.02 = 2,358.63 : x
  2. Step 2: Convert to fraction form
    3,136.41/4,708.02 = 2,358.63/x
  3. Step 3: Cross multiply
    3,136.41x = 4,708.02 × 2,358.63
  4. Step 4: Simplify right side
    3,136.41x = 11,104,477.21
  5. Step 5: Solve for x
    x = 11,104,477.21/3,136.41
  6. Step 6: Final answer
    x = 3,540.51

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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.