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Finding the Fourth Proportional to 4,689.75, 6,471.99 and 2,594.01

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Solution

The fourth proportional to 4,689.75, 6,471.99 and 2,594.01 is: 3,579.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.75 : 6,471.99 = 2,594.01 : x
  2. Step 2: Convert to fraction form
    4,689.75/6,471.99 = 2,594.01/x
  3. Step 3: Cross multiply
    4,689.75x = 6,471.99 × 2,594.01
  4. Step 4: Simplify right side
    4,689.75x = 16,788,406.78
  5. Step 5: Solve for x
    x = 16,788,406.78/4,689.75
  6. Step 6: Final answer
    x = 3,579.81

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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.