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Finding the Fourth Proportional to 3,668.51, 5,505.50 and 1,477.26

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Solution

The fourth proportional to 3,668.51, 5,505.50 and 1,477.26 is: 2,216.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.51 : 5,505.50 = 1,477.26 : x
  2. Step 2: Convert to fraction form
    3,668.51/5,505.50 = 1,477.26/x
  3. Step 3: Cross multiply
    3,668.51x = 5,505.50 × 1,477.26
  4. Step 4: Simplify right side
    3,668.51x = 8,133,058.62
  5. Step 5: Solve for x
    x = 8,133,058.62/3,668.51
  6. Step 6: Final answer
    x = 2,216.99

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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.