Home / 4,505.84-6,761.76-1,584.16

Finding the Fourth Proportional to 4,505.84, 6,761.76 and 1,584.16

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Solution

The fourth proportional to 4,505.84, 6,761.76 and 1,584.16 is: 2,377.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,505.84 : 6,761.76 = 1,584.16 : x
  2. Step 2: Convert to fraction form
    4,505.84/6,761.76 = 1,584.16/x
  3. Step 3: Cross multiply
    4,505.84x = 6,761.76 × 1,584.16
  4. Step 4: Simplify right side
    4,505.84x = 10,711,709.72
  5. Step 5: Solve for x
    x = 10,711,709.72/4,505.84
  6. Step 6: Final answer
    x = 2,377.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.