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Finding the Fourth Proportional to 3,668.48, 5,500.38 and 1,558.97

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Solution

The fourth proportional to 3,668.48, 5,500.38 and 1,558.97 is: 2,337.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.48 : 5,500.38 = 1,558.97 : x
  2. Step 2: Convert to fraction form
    3,668.48/5,500.38 = 1,558.97/x
  3. Step 3: Cross multiply
    3,668.48x = 5,500.38 × 1,558.97
  4. Step 4: Simplify right side
    3,668.48x = 8,574,927.41
  5. Step 5: Solve for x
    x = 8,574,927.41/3,668.48
  6. Step 6: Final answer
    x = 2,337.46

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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.