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Finding the Fourth Proportional to 4,882.84, 6,741.38 and 3,761.66

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Solution

The fourth proportional to 4,882.84, 6,741.38 and 3,761.66 is: 5,193.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,882.84 : 6,741.38 = 3,761.66 : x
  2. Step 2: Convert to fraction form
    4,882.84/6,741.38 = 3,761.66/x
  3. Step 3: Cross multiply
    4,882.84x = 6,741.38 × 3,761.66
  4. Step 4: Simplify right side
    4,882.84x = 25,358,779.49
  5. Step 5: Solve for x
    x = 25,358,779.49/4,882.84
  6. Step 6: Final answer
    x = 5,193.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.