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Finding the Fourth Proportional to 4,124.68, 6,177.68 and 3,386.60

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Solution

The fourth proportional to 4,124.68, 6,177.68 and 3,386.60 is: 5,072.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,124.68 : 6,177.68 = 3,386.60 : x
  2. Step 2: Convert to fraction form
    4,124.68/6,177.68 = 3,386.60/x
  3. Step 3: Cross multiply
    4,124.68x = 6,177.68 × 3,386.60
  4. Step 4: Simplify right side
    4,124.68x = 20,921,331.09
  5. Step 5: Solve for x
    x = 20,921,331.09/4,124.68
  6. Step 6: Final answer
    x = 5,072.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.