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Finding the Fourth Proportional to 4,690.08, 6,471.90 and 2,594.10

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Solution

The fourth proportional to 4,690.08, 6,471.90 and 2,594.10 is: 3,579.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,690.08 : 6,471.90 = 2,594.10 : x
  2. Step 2: Convert to fraction form
    4,690.08/6,471.90 = 2,594.10/x
  3. Step 3: Cross multiply
    4,690.08x = 6,471.90 × 2,594.10
  4. Step 4: Simplify right side
    4,690.08x = 16,788,755.79
  5. Step 5: Solve for x
    x = 16,788,755.79/4,690.08
  6. Step 6: Final answer
    x = 3,579.63

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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.