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Finding the Fourth Proportional to 4,651.89, 6,417.01 and 2,761.62

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Solution

The fourth proportional to 4,651.89, 6,417.01 and 2,761.62 is: 3,809.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.89 : 6,417.01 = 2,761.62 : x
  2. Step 2: Convert to fraction form
    4,651.89/6,417.01 = 2,761.62/x
  3. Step 3: Cross multiply
    4,651.89x = 6,417.01 × 2,761.62
  4. Step 4: Simplify right side
    4,651.89x = 17,721,343.16
  5. Step 5: Solve for x
    x = 17,721,343.16/4,651.89
  6. Step 6: Final answer
    x = 3,809.49

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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.