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Finding the Fourth Proportional to 5,690.61, 7,852.32 and 3,172.39

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Solution

The fourth proportional to 5,690.61, 7,852.32 and 3,172.39 is: 4,377.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.61 : 7,852.32 = 3,172.39 : x
  2. Step 2: Convert to fraction form
    5,690.61/7,852.32 = 3,172.39/x
  3. Step 3: Cross multiply
    5,690.61x = 7,852.32 × 3,172.39
  4. Step 4: Simplify right side
    5,690.61x = 24,910,601.81
  5. Step 5: Solve for x
    x = 24,910,601.81/5,690.61
  6. Step 6: Final answer
    x = 4,377.49

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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.