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Finding the Fourth Proportional to 4,486.65, 6,729.97 and 2,146.10

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Solution

The fourth proportional to 4,486.65, 6,729.97 and 2,146.10 is: 3,219.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,486.65 : 6,729.97 = 2,146.10 : x
  2. Step 2: Convert to fraction form
    4,486.65/6,729.97 = 2,146.10/x
  3. Step 3: Cross multiply
    4,486.65x = 6,729.97 × 2,146.10
  4. Step 4: Simplify right side
    4,486.65x = 14,443,188.62
  5. Step 5: Solve for x
    x = 14,443,188.62/4,486.65
  6. Step 6: Final answer
    x = 3,219.15

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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.