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Finding the Fourth Proportional to 5,171.65, 7,756.71 and 1,883.98

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Solution

The fourth proportional to 5,171.65, 7,756.71 and 1,883.98 is: 2,825.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.65 : 7,756.71 = 1,883.98 : x
  2. Step 2: Convert to fraction form
    5,171.65/7,756.71 = 1,883.98/x
  3. Step 3: Cross multiply
    5,171.65x = 7,756.71 × 1,883.98
  4. Step 4: Simplify right side
    5,171.65x = 14,613,443.01
  5. Step 5: Solve for x
    x = 14,613,443.01/5,171.65
  6. Step 6: Final answer
    x = 2,825.68

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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.