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Finding the Fourth Proportional to 5,513.07, 8,269.60 and 1,409.07

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Solution

The fourth proportional to 5,513.07, 8,269.60 and 1,409.07 is: 2,113.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,513.07 : 8,269.60 = 1,409.07 : x
  2. Step 2: Convert to fraction form
    5,513.07/8,269.60 = 1,409.07/x
  3. Step 3: Cross multiply
    5,513.07x = 8,269.60 × 1,409.07
  4. Step 4: Simplify right side
    5,513.07x = 11,652,445.27
  5. Step 5: Solve for x
    x = 11,652,445.27/5,513.07
  6. Step 6: Final answer
    x = 2,113.60

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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.