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Finding the Fourth Proportional to 3,951.66, 5,926.23 and 1,762.32

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Solution

The fourth proportional to 3,951.66, 5,926.23 and 1,762.32 is: 2,642.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,951.66 : 5,926.23 = 1,762.32 : x
  2. Step 2: Convert to fraction form
    3,951.66/5,926.23 = 1,762.32/x
  3. Step 3: Cross multiply
    3,951.66x = 5,926.23 × 1,762.32
  4. Step 4: Simplify right side
    3,951.66x = 10,443,913.65
  5. Step 5: Solve for x
    x = 10,443,913.65/3,951.66
  6. Step 6: Final answer
    x = 2,642.92

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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.