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Finding the Fourth Proportional to 4,676.16, 6,453.36 and 2,580.48

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Solution

The fourth proportional to 4,676.16, 6,453.36 and 2,580.48 is: 3,561.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.16 : 6,453.36 = 2,580.48 : x
  2. Step 2: Convert to fraction form
    4,676.16/6,453.36 = 2,580.48/x
  3. Step 3: Cross multiply
    4,676.16x = 6,453.36 × 2,580.48
  4. Step 4: Simplify right side
    4,676.16x = 16,652,766.41
  5. Step 5: Solve for x
    x = 16,652,766.41/4,676.16
  6. Step 6: Final answer
    x = 3,561.21

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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.