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Finding the Fourth Proportional to 5,077.66, 7,605.68 and 2,885.26

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Solution

The fourth proportional to 5,077.66, 7,605.68 and 2,885.26 is: 4,321.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,077.66 : 7,605.68 = 2,885.26 : x
  2. Step 2: Convert to fraction form
    5,077.66/7,605.68 = 2,885.26/x
  3. Step 3: Cross multiply
    5,077.66x = 7,605.68 × 2,885.26
  4. Step 4: Simplify right side
    5,077.66x = 21,944,364.28
  5. Step 5: Solve for x
    x = 21,944,364.28/5,077.66
  6. Step 6: Final answer
    x = 4,321.75

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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.