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Finding the Fourth Proportional to 4,505.48, 6,759.13 and 1,584.01

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Solution

The fourth proportional to 4,505.48, 6,759.13 and 1,584.01 is: 2,376.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,505.48 : 6,759.13 = 1,584.01 : x
  2. Step 2: Convert to fraction form
    4,505.48/6,759.13 = 1,584.01/x
  3. Step 3: Cross multiply
    4,505.48x = 6,759.13 × 1,584.01
  4. Step 4: Simplify right side
    4,505.48x = 10,706,536.97
  5. Step 5: Solve for x
    x = 10,706,536.97/4,505.48
  6. Step 6: Final answer
    x = 2,376.34

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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.