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Finding the Fourth Proportional to 5,596.90, 7,723.64 and 4,167.65

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Solution

The fourth proportional to 5,596.90, 7,723.64 and 4,167.65 is: 5,751.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,596.90 : 7,723.64 = 4,167.65 : x
  2. Step 2: Convert to fraction form
    5,596.90/7,723.64 = 4,167.65/x
  3. Step 3: Cross multiply
    5,596.90x = 7,723.64 × 4,167.65
  4. Step 4: Simplify right side
    5,596.90x = 32,189,457.97
  5. Step 5: Solve for x
    x = 32,189,457.97/5,596.90
  6. Step 6: Final answer
    x = 5,751.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.