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Finding the Fourth Proportional to 3,642.98, 5,465.45 and 1,669.86

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Solution

The fourth proportional to 3,642.98, 5,465.45 and 1,669.86 is: 2,505.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.98 : 5,465.45 = 1,669.86 : x
  2. Step 2: Convert to fraction form
    3,642.98/5,465.45 = 1,669.86/x
  3. Step 3: Cross multiply
    3,642.98x = 5,465.45 × 1,669.86
  4. Step 4: Simplify right side
    3,642.98x = 9,126,540.51
  5. Step 5: Solve for x
    x = 9,126,540.51/3,642.98
  6. Step 6: Final answer
    x = 2,505.24

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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.