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Finding the Fourth Proportional to 5,609.90, 7,733.21 and 4,613.45

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Solution

The fourth proportional to 5,609.90, 7,733.21 and 4,613.45 is: 6,359.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.90 : 7,733.21 = 4,613.45 : x
  2. Step 2: Convert to fraction form
    5,609.90/7,733.21 = 4,613.45/x
  3. Step 3: Cross multiply
    5,609.90x = 7,733.21 × 4,613.45
  4. Step 4: Simplify right side
    5,609.90x = 35,676,777.67
  5. Step 5: Solve for x
    x = 35,676,777.67/5,609.90
  6. Step 6: Final answer
    x = 6,359.61

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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.