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Finding the Fourth Proportional to 3,735.01, 5,603.77 and 1,654.73

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Solution

The fourth proportional to 3,735.01, 5,603.77 and 1,654.73 is: 2,482.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.01 : 5,603.77 = 1,654.73 : x
  2. Step 2: Convert to fraction form
    3,735.01/5,603.77 = 1,654.73/x
  3. Step 3: Cross multiply
    3,735.01x = 5,603.77 × 1,654.73
  4. Step 4: Simplify right side
    3,735.01x = 9,272,726.33
  5. Step 5: Solve for x
    x = 9,272,726.33/3,735.01
  6. Step 6: Final answer
    x = 2,482.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.