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Finding the Fourth Proportional to 5,007.74, 6,911.27 and 4,166.96

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Solution

The fourth proportional to 5,007.74, 6,911.27 and 4,166.96 is: 5,750.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,007.74 : 6,911.27 = 4,166.96 : x
  2. Step 2: Convert to fraction form
    5,007.74/6,911.27 = 4,166.96/x
  3. Step 3: Cross multiply
    5,007.74x = 6,911.27 × 4,166.96
  4. Step 4: Simplify right side
    5,007.74x = 28,798,930.25
  5. Step 5: Solve for x
    x = 28,798,930.25/5,007.74
  6. Step 6: Final answer
    x = 5,750.89

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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.