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Finding the Fourth Proportional to 4,676.53, 6,453.03 and 2,580.65

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Solution

The fourth proportional to 4,676.53, 6,453.03 and 2,580.65 is: 3,560.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.53 : 6,453.03 = 2,580.65 : x
  2. Step 2: Convert to fraction form
    4,676.53/6,453.03 = 2,580.65/x
  3. Step 3: Cross multiply
    4,676.53x = 6,453.03 × 2,580.65
  4. Step 4: Simplify right side
    4,676.53x = 16,653,011.87
  5. Step 5: Solve for x
    x = 16,653,011.87/4,676.53
  6. Step 6: Final answer
    x = 3,560.98

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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.