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Finding the Fourth Proportional to 4,489.65, 6,734.48 and 1,567.98

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Solution

The fourth proportional to 4,489.65, 6,734.48 and 1,567.98 is: 2,351.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,489.65 : 6,734.48 = 1,567.98 : x
  2. Step 2: Convert to fraction form
    4,489.65/6,734.48 = 1,567.98/x
  3. Step 3: Cross multiply
    4,489.65x = 6,734.48 × 1,567.98
  4. Step 4: Simplify right side
    4,489.65x = 10,559,522.11
  5. Step 5: Solve for x
    x = 10,559,522.11/4,489.65
  6. Step 6: Final answer
    x = 2,351.97

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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.