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Finding the Fourth Proportional to 5,732.66, 7,901.11 and 4,668.15

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Solution

The fourth proportional to 5,732.66, 7,901.11 and 4,668.15 is: 6,433.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732.66 : 7,901.11 = 4,668.15 : x
  2. Step 2: Convert to fraction form
    5,732.66/7,901.11 = 4,668.15/x
  3. Step 3: Cross multiply
    5,732.66x = 7,901.11 × 4,668.15
  4. Step 4: Simplify right side
    5,732.66x = 36,883,566.65
  5. Step 5: Solve for x
    x = 36,883,566.65/5,732.66
  6. Step 6: Final answer
    x = 6,433.94

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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.