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Finding the Fourth Proportional to 4,571.88, 6,857.84 and 1,109.13

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Solution

The fourth proportional to 4,571.88, 6,857.84 and 1,109.13 is: 1,663.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,571.88 : 6,857.84 = 1,109.13 : x
  2. Step 2: Convert to fraction form
    4,571.88/6,857.84 = 1,109.13/x
  3. Step 3: Cross multiply
    4,571.88x = 6,857.84 × 1,109.13
  4. Step 4: Simplify right side
    4,571.88x = 7,606,236.08
  5. Step 5: Solve for x
    x = 7,606,236.08/4,571.88
  6. Step 6: Final answer
    x = 1,663.70

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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.