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Finding the Fourth Proportional to 3,675.86, 5,504.40 and 2,030.66

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Solution

The fourth proportional to 3,675.86, 5,504.40 and 2,030.66 is: 3,040.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.86 : 5,504.40 = 2,030.66 : x
  2. Step 2: Convert to fraction form
    3,675.86/5,504.40 = 2,030.66/x
  3. Step 3: Cross multiply
    3,675.86x = 5,504.40 × 2,030.66
  4. Step 4: Simplify right side
    3,675.86x = 11,177,564.90
  5. Step 5: Solve for x
    x = 11,177,564.90/3,675.86
  6. Step 6: Final answer
    x = 3,040.80

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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.