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Finding the Fourth Proportional to 3,668.60, 5,505.60 and 2,283.95

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Solution

The fourth proportional to 3,668.60, 5,505.60 and 2,283.95 is: 3,427.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.60 : 5,505.60 = 2,283.95 : x
  2. Step 2: Convert to fraction form
    3,668.60/5,505.60 = 2,283.95/x
  3. Step 3: Cross multiply
    3,668.60x = 5,505.60 × 2,283.95
  4. Step 4: Simplify right side
    3,668.60x = 12,574,515.12
  5. Step 5: Solve for x
    x = 12,574,515.12/3,668.60
  6. Step 6: Final answer
    x = 3,427.61

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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.