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Finding the Fourth Proportional to 4,484.82, 6,725.07 and 2,538.66

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Solution

The fourth proportional to 4,484.82, 6,725.07 and 2,538.66 is: 3,806.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,484.82 : 6,725.07 = 2,538.66 : x
  2. Step 2: Convert to fraction form
    4,484.82/6,725.07 = 2,538.66/x
  3. Step 3: Cross multiply
    4,484.82x = 6,725.07 × 2,538.66
  4. Step 4: Simplify right side
    4,484.82x = 17,072,666.21
  5. Step 5: Solve for x
    x = 17,072,666.21/4,484.82
  6. Step 6: Final answer
    x = 3,806.77

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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.