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Finding the Fourth Proportional to 5,348.53, 8,015.76 and 4,651.93

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Solution

The fourth proportional to 5,348.53, 8,015.76 and 4,651.93 is: 6,971.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,348.53 : 8,015.76 = 4,651.93 : x
  2. Step 2: Convert to fraction form
    5,348.53/8,015.76 = 4,651.93/x
  3. Step 3: Cross multiply
    5,348.53x = 8,015.76 × 4,651.93
  4. Step 4: Simplify right side
    5,348.53x = 37,288,764.44
  5. Step 5: Solve for x
    x = 37,288,764.44/5,348.53
  6. Step 6: Final answer
    x = 6,971.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.