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Finding the Fourth Proportional to 3,668.63, 5,503.75 and 1,360.13

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Solution

The fourth proportional to 3,668.63, 5,503.75 and 1,360.13 is: 2,040.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.63 : 5,503.75 = 1,360.13 : x
  2. Step 2: Convert to fraction form
    3,668.63/5,503.75 = 1,360.13/x
  3. Step 3: Cross multiply
    3,668.63x = 5,503.75 × 1,360.13
  4. Step 4: Simplify right side
    3,668.63x = 7,485,784.57
  5. Step 5: Solve for x
    x = 7,485,784.57/3,668.63
  6. Step 6: Final answer
    x = 2,040.49

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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.