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Finding the Fourth Proportional to 5,513.06, 8,269.73 and 1,409.06

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Solution

The fourth proportional to 5,513.06, 8,269.73 and 1,409.06 is: 2,113.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,513.06 : 8,269.73 = 1,409.06 : x
  2. Step 2: Convert to fraction form
    5,513.06/8,269.73 = 1,409.06/x
  3. Step 3: Cross multiply
    5,513.06x = 8,269.73 × 1,409.06
  4. Step 4: Simplify right side
    5,513.06x = 11,652,564.67
  5. Step 5: Solve for x
    x = 11,652,564.67/5,513.06
  6. Step 6: Final answer
    x = 2,113.63

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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.