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Finding the Fourth Proportional to 3,295.87, 4,920.30 and 3,180.53

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Solution

The fourth proportional to 3,295.87, 4,920.30 and 3,180.53 is: 4,748.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,295.87 : 4,920.30 = 3,180.53 : x
  2. Step 2: Convert to fraction form
    3,295.87/4,920.30 = 3,180.53/x
  3. Step 3: Cross multiply
    3,295.87x = 4,920.30 × 3,180.53
  4. Step 4: Simplify right side
    3,295.87x = 15,649,145.86
  5. Step 5: Solve for x
    x = 15,649,145.86/3,295.87
  6. Step 6: Final answer
    x = 4,748.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.