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Finding the Fourth Proportional to 4,677.67, 6,457.51 and 3,262.49

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Solution

The fourth proportional to 4,677.67, 6,457.51 and 3,262.49 is: 4,503.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.67 : 6,457.51 = 3,262.49 : x
  2. Step 2: Convert to fraction form
    4,677.67/6,457.51 = 3,262.49/x
  3. Step 3: Cross multiply
    4,677.67x = 6,457.51 × 3,262.49
  4. Step 4: Simplify right side
    4,677.67x = 21,067,561.80
  5. Step 5: Solve for x
    x = 21,067,561.80/4,677.67
  6. Step 6: Final answer
    x = 4,503.86

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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.