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Finding the Fourth Proportional to 3,735.74, 5,602.72 and 1,654.60

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Solution

The fourth proportional to 3,735.74, 5,602.72 and 1,654.60 is: 2,481.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.74 : 5,602.72 = 1,654.60 : x
  2. Step 2: Convert to fraction form
    3,735.74/5,602.72 = 1,654.60/x
  3. Step 3: Cross multiply
    3,735.74x = 5,602.72 × 1,654.60
  4. Step 4: Simplify right side
    3,735.74x = 9,270,260.51
  5. Step 5: Solve for x
    x = 9,270,260.51/3,735.74
  6. Step 6: Final answer
    x = 2,481.51

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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.