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Finding the Fourth Proportional to 5,706.89, 7,876.55 and 3,317.19

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Solution

The fourth proportional to 5,706.89, 7,876.55 and 3,317.19 is: 4,578.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.89 : 7,876.55 = 3,317.19 : x
  2. Step 2: Convert to fraction form
    5,706.89/7,876.55 = 3,317.19/x
  3. Step 3: Cross multiply
    5,706.89x = 7,876.55 × 3,317.19
  4. Step 4: Simplify right side
    5,706.89x = 26,127,996.31
  5. Step 5: Solve for x
    x = 26,127,996.31/5,706.89
  6. Step 6: Final answer
    x = 4,578.32

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Why These Related Problems?

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