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Finding the Fourth Proportional to 4,653.38, 6,978.24 and 1,879.53

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Solution

The fourth proportional to 4,653.38, 6,978.24 and 1,879.53 is: 2,818.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.38 : 6,978.24 = 1,879.53 : x
  2. Step 2: Convert to fraction form
    4,653.38/6,978.24 = 1,879.53/x
  3. Step 3: Cross multiply
    4,653.38x = 6,978.24 × 1,879.53
  4. Step 4: Simplify right side
    4,653.38x = 13,115,811.43
  5. Step 5: Solve for x
    x = 13,115,811.43/4,653.38
  6. Step 6: Final answer
    x = 2,818.56

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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.