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Finding the Fourth Proportional to 3,409.26, 5,114.47 and 1,068.81

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Solution

The fourth proportional to 3,409.26, 5,114.47 and 1,068.81 is: 1,603.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.26 : 5,114.47 = 1,068.81 : x
  2. Step 2: Convert to fraction form
    3,409.26/5,114.47 = 1,068.81/x
  3. Step 3: Cross multiply
    3,409.26x = 5,114.47 × 1,068.81
  4. Step 4: Simplify right side
    3,409.26x = 5,466,391.34
  5. Step 5: Solve for x
    x = 5,466,391.34/3,409.26
  6. Step 6: Final answer
    x = 1,603.40

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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.