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Finding the Fourth Proportional to 3,495.69, 4,823.82 and 2,003.49

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Solution

The fourth proportional to 3,495.69, 4,823.82 and 2,003.49 is: 2,764.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,495.69 : 4,823.82 = 2,003.49 : x
  2. Step 2: Convert to fraction form
    3,495.69/4,823.82 = 2,003.49/x
  3. Step 3: Cross multiply
    3,495.69x = 4,823.82 × 2,003.49
  4. Step 4: Simplify right side
    3,495.69x = 9,664,475.13
  5. Step 5: Solve for x
    x = 9,664,475.13/3,495.69
  6. Step 6: Final answer
    x = 2,764.68

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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.