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Finding the Fourth Proportional to 3,967.89, 5,473.47 and 3,686.31

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Solution

The fourth proportional to 3,967.89, 5,473.47 and 3,686.31 is: 5,085.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.89 : 5,473.47 = 3,686.31 : x
  2. Step 2: Convert to fraction form
    3,967.89/5,473.47 = 3,686.31/x
  3. Step 3: Cross multiply
    3,967.89x = 5,473.47 × 3,686.31
  4. Step 4: Simplify right side
    3,967.89x = 20,176,907.20
  5. Step 5: Solve for x
    x = 20,176,907.20/3,967.89
  6. Step 6: Final answer
    x = 5,085.05

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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.