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Finding the Fourth Proportional to 4,716.80, 6,505.28 and 2,852.16

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Solution

The fourth proportional to 4,716.80, 6,505.28 and 2,852.16 is: 3,933.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,716.80 : 6,505.28 = 2,852.16 : x
  2. Step 2: Convert to fraction form
    4,716.80/6,505.28 = 2,852.16/x
  3. Step 3: Cross multiply
    4,716.80x = 6,505.28 × 2,852.16
  4. Step 4: Simplify right side
    4,716.80x = 18,554,099.40
  5. Step 5: Solve for x
    x = 18,554,099.40/4,716.80
  6. Step 6: Final answer
    x = 3,933.62

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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.