Home / 5,046.78-7,570.58-1,584.04

Finding the Fourth Proportional to 5,046.78, 7,570.58 and 1,584.04

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Solution

The fourth proportional to 5,046.78, 7,570.58 and 1,584.04 is: 2,376.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046.78 : 7,570.58 = 1,584.04 : x
  2. Step 2: Convert to fraction form
    5,046.78/7,570.58 = 1,584.04/x
  3. Step 3: Cross multiply
    5,046.78x = 7,570.58 × 1,584.04
  4. Step 4: Simplify right side
    5,046.78x = 11,992,101.54
  5. Step 5: Solve for x
    x = 11,992,101.54/5,046.78
  6. Step 6: Final answer
    x = 2,376.19

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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.