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Finding the Fourth Proportional to 5,706.04, 7,874.34 and 3,316.48

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Solution

The fourth proportional to 5,706.04, 7,874.34 and 3,316.48 is: 4,576.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.04 : 7,874.34 = 3,316.48 : x
  2. Step 2: Convert to fraction form
    5,706.04/7,874.34 = 3,316.48/x
  3. Step 3: Cross multiply
    5,706.04x = 7,874.34 × 3,316.48
  4. Step 4: Simplify right side
    5,706.04x = 26,115,091.12
  5. Step 5: Solve for x
    x = 26,115,091.12/5,706.04
  6. Step 6: Final answer
    x = 4,576.75

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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.