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Finding the Fourth Proportional to 4,629.65, 6,948.36 and 1,999.14

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Solution

The fourth proportional to 4,629.65, 6,948.36 and 1,999.14 is: 3,000.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,629.65 : 6,948.36 = 1,999.14 : x
  2. Step 2: Convert to fraction form
    4,629.65/6,948.36 = 1,999.14/x
  3. Step 3: Cross multiply
    4,629.65x = 6,948.36 × 1,999.14
  4. Step 4: Simplify right side
    4,629.65x = 13,890,744.41
  5. Step 5: Solve for x
    x = 13,890,744.41/4,629.65
  6. Step 6: Final answer
    x = 3,000.39

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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.