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Finding the Fourth Proportional to 5,377.32, 7,420.38 and 3,019.44

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Solution

The fourth proportional to 5,377.32, 7,420.38 and 3,019.44 is: 4,166.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,377.32 : 7,420.38 = 3,019.44 : x
  2. Step 2: Convert to fraction form
    5,377.32/7,420.38 = 3,019.44/x
  3. Step 3: Cross multiply
    5,377.32x = 7,420.38 × 3,019.44
  4. Step 4: Simplify right side
    5,377.32x = 22,405,392.19
  5. Step 5: Solve for x
    x = 22,405,392.19/5,377.32
  6. Step 6: Final answer
    x = 4,166.65

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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.