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Finding the Fourth Proportional to 5,584, 8,365.04 and 3,828.72

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Solution

The fourth proportional to 5,584, 8,365.04 and 3,828.72 is: 5,735.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584 : 8,365.04 = 3,828.72 : x
  2. Step 2: Convert to fraction form
    5,584/8,365.04 = 3,828.72/x
  3. Step 3: Cross multiply
    5,584x = 8,365.04 × 3,828.72
  4. Step 4: Simplify right side
    5,584x = 32,027,395.95
  5. Step 5: Solve for x
    x = 32,027,395.95/5,584
  6. Step 6: Final answer
    x = 5,735.57

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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.