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Finding the Fourth Proportional to 4,676.48, 6,453.76 and 2,580.80

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Solution

The fourth proportional to 4,676.48, 6,453.76 and 2,580.80 is: 3,561.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.48 : 6,453.76 = 2,580.80 : x
  2. Step 2: Convert to fraction form
    4,676.48/6,453.76 = 2,580.80/x
  3. Step 3: Cross multiply
    4,676.48x = 6,453.76 × 2,580.80
  4. Step 4: Simplify right side
    4,676.48x = 16,655,863.81
  5. Step 5: Solve for x
    x = 16,655,863.81/4,676.48
  6. Step 6: Final answer
    x = 3,561.62

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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.