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Finding the Fourth Proportional to 4,185.68, 6,278.20 and 3,537.68

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Solution

The fourth proportional to 4,185.68, 6,278.20 and 3,537.68 is: 5,306.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,185.68 : 6,278.20 = 3,537.68 : x
  2. Step 2: Convert to fraction form
    4,185.68/6,278.20 = 3,537.68/x
  3. Step 3: Cross multiply
    4,185.68x = 6,278.20 × 3,537.68
  4. Step 4: Simplify right side
    4,185.68x = 22,210,262.58
  5. Step 5: Solve for x
    x = 22,210,262.58/4,185.68
  6. Step 6: Final answer
    x = 5,306.25

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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.