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Finding the Fourth Proportional to 4,434.65, 6,647.92 and 1,969.96

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Solution

The fourth proportional to 4,434.65, 6,647.92 and 1,969.96 is: 2,953.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,434.65 : 6,647.92 = 1,969.96 : x
  2. Step 2: Convert to fraction form
    4,434.65/6,647.92 = 1,969.96/x
  3. Step 3: Cross multiply
    4,434.65x = 6,647.92 × 1,969.96
  4. Step 4: Simplify right side
    4,434.65x = 13,096,136.48
  5. Step 5: Solve for x
    x = 13,096,136.48/4,434.65
  6. Step 6: Final answer
    x = 2,953.14

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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.