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Finding the Fourth Proportional to 3,686.07, 5,091.75 and 3,423.63

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Solution

The fourth proportional to 3,686.07, 5,091.75 and 3,423.63 is: 4,729.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.07 : 5,091.75 = 3,423.63 : x
  2. Step 2: Convert to fraction form
    3,686.07/5,091.75 = 3,423.63/x
  3. Step 3: Cross multiply
    3,686.07x = 5,091.75 × 3,423.63
  4. Step 4: Simplify right side
    3,686.07x = 17,432,268.05
  5. Step 5: Solve for x
    x = 17,432,268.05/3,686.07
  6. Step 6: Final answer
    x = 4,729.23

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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.