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Finding the Fourth Proportional to 3,513.03, 5,269.63 and 1,663.71

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Solution

The fourth proportional to 3,513.03, 5,269.63 and 1,663.71 is: 2,495.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,513.03 : 5,269.63 = 1,663.71 : x
  2. Step 2: Convert to fraction form
    3,513.03/5,269.63 = 1,663.71/x
  3. Step 3: Cross multiply
    3,513.03x = 5,269.63 × 1,663.71
  4. Step 4: Simplify right side
    3,513.03x = 8,767,105.62
  5. Step 5: Solve for x
    x = 8,767,105.62/3,513.03
  6. Step 6: Final answer
    x = 2,495.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.