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Finding the Fourth Proportional to 4,480, 6,181.68 and 2,591.56

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Solution

The fourth proportional to 4,480, 6,181.68 and 2,591.56 is: 3,575.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,480 : 6,181.68 = 2,591.56 : x
  2. Step 2: Convert to fraction form
    4,480/6,181.68 = 2,591.56/x
  3. Step 3: Cross multiply
    4,480x = 6,181.68 × 2,591.56
  4. Step 4: Simplify right side
    4,480x = 16,020,194.62
  5. Step 5: Solve for x
    x = 16,020,194.62/4,480
  6. Step 6: Final answer
    x = 3,575.94

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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.