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Finding the Fourth Proportional to 4,505.66, 6,759.39 and 1,586.01

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Solution

The fourth proportional to 4,505.66, 6,759.39 and 1,586.01 is: 2,379.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,505.66 : 6,759.39 = 1,586.01 : x
  2. Step 2: Convert to fraction form
    4,505.66/6,759.39 = 1,586.01/x
  3. Step 3: Cross multiply
    4,505.66x = 6,759.39 × 1,586.01
  4. Step 4: Simplify right side
    4,505.66x = 10,720,460.13
  5. Step 5: Solve for x
    x = 10,720,460.13/4,505.66
  6. Step 6: Final answer
    x = 2,379.33

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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.