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Finding the Fourth Proportional to 4,538.03, 6,804 and 3,661.61

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Solution

The fourth proportional to 4,538.03, 6,804 and 3,661.61 is: 5,489.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,538.03 : 6,804 = 3,661.61 : x
  2. Step 2: Convert to fraction form
    4,538.03/6,804 = 3,661.61/x
  3. Step 3: Cross multiply
    4,538.03x = 6,804 × 3,661.61
  4. Step 4: Simplify right side
    4,538.03x = 24,913,560.42
  5. Step 5: Solve for x
    x = 24,913,560.42/4,538.03
  6. Step 6: Final answer
    x = 5,489.96

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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.