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Finding the Fourth Proportional to 6,505.58, 8,978.14 and 3,671.95

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Solution

The fourth proportional to 6,505.58, 8,978.14 and 3,671.95 is: 5,067.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.58 : 8,978.14 = 3,671.95 : x
  2. Step 2: Convert to fraction form
    6,505.58/8,978.14 = 3,671.95/x
  3. Step 3: Cross multiply
    6,505.58x = 8,978.14 × 3,671.95
  4. Step 4: Simplify right side
    6,505.58x = 32,967,262.81
  5. Step 5: Solve for x
    x = 32,967,262.81/6,505.58
  6. Step 6: Final answer
    x = 5,067.54

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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.