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Finding the Fourth Proportional to 5,834.63, 8,051.49 and 3,316.40

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Solution

The fourth proportional to 5,834.63, 8,051.49 and 3,316.40 is: 4,576.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.63 : 8,051.49 = 3,316.40 : x
  2. Step 2: Convert to fraction form
    5,834.63/8,051.49 = 3,316.40/x
  3. Step 3: Cross multiply
    5,834.63x = 8,051.49 × 3,316.40
  4. Step 4: Simplify right side
    5,834.63x = 26,701,961.44
  5. Step 5: Solve for x
    x = 26,701,961.44/5,834.63
  6. Step 6: Final answer
    x = 4,576.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.