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Finding the Fourth Proportional to 4,185.84, 6,278.95 and 1,412.53

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Solution

The fourth proportional to 4,185.84, 6,278.95 and 1,412.53 is: 2,118.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,185.84 : 6,278.95 = 1,412.53 : x
  2. Step 2: Convert to fraction form
    4,185.84/6,278.95 = 1,412.53/x
  3. Step 3: Cross multiply
    4,185.84x = 6,278.95 × 1,412.53
  4. Step 4: Simplify right side
    4,185.84x = 8,869,198.18
  5. Step 5: Solve for x
    x = 8,869,198.18/4,185.84
  6. Step 6: Final answer
    x = 2,118.86

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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.