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Finding the Fourth Proportional to 4,676.69, 6,461.58 and 3,689.48

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Solution

The fourth proportional to 4,676.69, 6,461.58 and 3,689.48 is: 5,097.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.69 : 6,461.58 = 3,689.48 : x
  2. Step 2: Convert to fraction form
    4,676.69/6,461.58 = 3,689.48/x
  3. Step 3: Cross multiply
    4,676.69x = 6,461.58 × 3,689.48
  4. Step 4: Simplify right side
    4,676.69x = 23,839,870.18
  5. Step 5: Solve for x
    x = 23,839,870.18/4,676.69
  6. Step 6: Final answer
    x = 5,097.59

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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.