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Finding the Fourth Proportional to 5,616.07, 8,407.68 and 3,409.94

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Solution

The fourth proportional to 5,616.07, 8,407.68 and 3,409.94 is: 5,104.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616.07 : 8,407.68 = 3,409.94 : x
  2. Step 2: Convert to fraction form
    5,616.07/8,407.68 = 3,409.94/x
  3. Step 3: Cross multiply
    5,616.07x = 8,407.68 × 3,409.94
  4. Step 4: Simplify right side
    5,616.07x = 28,669,684.34
  5. Step 5: Solve for x
    x = 28,669,684.34/5,616.07
  6. Step 6: Final answer
    x = 5,104.94

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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.