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Finding the Fourth Proportional to 4,676.83, 6,454.01 and 2,580.94

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Solution

The fourth proportional to 4,676.83, 6,454.01 and 2,580.94 is: 3,561.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.83 : 6,454.01 = 2,580.94 : x
  2. Step 2: Convert to fraction form
    4,676.83/6,454.01 = 2,580.94/x
  3. Step 3: Cross multiply
    4,676.83x = 6,454.01 × 2,580.94
  4. Step 4: Simplify right side
    4,676.83x = 16,657,393.21
  5. Step 5: Solve for x
    x = 16,657,393.21/4,676.83
  6. Step 6: Final answer
    x = 3,561.69

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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.