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Finding the Fourth Proportional to 4,887.82, 7,329.94 and 1,767.08

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Solution

The fourth proportional to 4,887.82, 7,329.94 and 1,767.08 is: 2,649.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,887.82 : 7,329.94 = 1,767.08 : x
  2. Step 2: Convert to fraction form
    4,887.82/7,329.94 = 1,767.08/x
  3. Step 3: Cross multiply
    4,887.82x = 7,329.94 × 1,767.08
  4. Step 4: Simplify right side
    4,887.82x = 12,952,549.31
  5. Step 5: Solve for x
    x = 12,952,549.31/4,887.82
  6. Step 6: Final answer
    x = 2,649.97

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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.