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Finding the Fourth Proportional to 6,432.44, 8,878.95 and 3,780.63

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Solution

The fourth proportional to 6,432.44, 8,878.95 and 3,780.63 is: 5,218.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.44 : 8,878.95 = 3,780.63 : x
  2. Step 2: Convert to fraction form
    6,432.44/8,878.95 = 3,780.63/x
  3. Step 3: Cross multiply
    6,432.44x = 8,878.95 × 3,780.63
  4. Step 4: Simplify right side
    6,432.44x = 33,568,024.74
  5. Step 5: Solve for x
    x = 33,568,024.74/6,432.44
  6. Step 6: Final answer
    x = 5,218.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.