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Finding the Fourth Proportional to 4,505.12, 6,744 and 3,515.84

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Solution

The fourth proportional to 4,505.12, 6,744 and 3,515.84 is: 5,263.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,505.12 : 6,744 = 3,515.84 : x
  2. Step 2: Convert to fraction form
    4,505.12/6,744 = 3,515.84/x
  3. Step 3: Cross multiply
    4,505.12x = 6,744 × 3,515.84
  4. Step 4: Simplify right side
    4,505.12x = 23,710,824.96
  5. Step 5: Solve for x
    x = 23,710,824.96/4,505.12
  6. Step 6: Final answer
    x = 5,263.08

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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.