Home / 5,046.96-7,571.28-1,584

Finding the Fourth Proportional to 5,046.96, 7,571.28 and 1,584

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Solution

The fourth proportional to 5,046.96, 7,571.28 and 1,584 is: 2,376.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046.96 : 7,571.28 = 1,584 : x
  2. Step 2: Convert to fraction form
    5,046.96/7,571.28 = 1,584/x
  3. Step 3: Cross multiply
    5,046.96x = 7,571.28 × 1,584
  4. Step 4: Simplify right side
    5,046.96x = 11,992,907.52
  5. Step 5: Solve for x
    x = 11,992,907.52/5,046.96
  6. Step 6: Final answer
    x = 2,376.26

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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.