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Finding the Fourth Proportional to 3,196.71, 4,412.03 and 2,538.59

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Solution

The fourth proportional to 3,196.71, 4,412.03 and 2,538.59 is: 3,503.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.71 : 4,412.03 = 2,538.59 : x
  2. Step 2: Convert to fraction form
    3,196.71/4,412.03 = 2,538.59/x
  3. Step 3: Cross multiply
    3,196.71x = 4,412.03 × 2,538.59
  4. Step 4: Simplify right side
    3,196.71x = 11,200,300.48
  5. Step 5: Solve for x
    x = 11,200,300.48/3,196.71
  6. Step 6: Final answer
    x = 3,503.70

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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.