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Finding the Fourth Proportional to 3,478.59, 4,800.39 and 2,151.94

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Solution

The fourth proportional to 3,478.59, 4,800.39 and 2,151.94 is: 2,969.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.59 : 4,800.39 = 2,151.94 : x
  2. Step 2: Convert to fraction form
    3,478.59/4,800.39 = 2,151.94/x
  3. Step 3: Cross multiply
    3,478.59x = 4,800.39 × 2,151.94
  4. Step 4: Simplify right side
    3,478.59x = 10,330,151.26
  5. Step 5: Solve for x
    x = 10,330,151.26/3,478.59
  6. Step 6: Final answer
    x = 2,969.64

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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.