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Finding the Fourth Proportional to 3,668.75, 5,503.80 and 1,477.70

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Solution

The fourth proportional to 3,668.75, 5,503.80 and 1,477.70 is: 2,216.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.75 : 5,503.80 = 1,477.70 : x
  2. Step 2: Convert to fraction form
    3,668.75/5,503.80 = 1,477.70/x
  3. Step 3: Cross multiply
    3,668.75x = 5,503.80 × 1,477.70
  4. Step 4: Simplify right side
    3,668.75x = 8,132,965.26
  5. Step 5: Solve for x
    x = 8,132,965.26/3,668.75
  6. Step 6: Final answer
    x = 2,216.82

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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.