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Finding the Fourth Proportional to 5,584.16, 7,706 and 3,100

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Solution

The fourth proportional to 5,584.16, 7,706 and 3,100 is: 4,277.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.16 : 7,706 = 3,100 : x
  2. Step 2: Convert to fraction form
    5,584.16/7,706 = 3,100/x
  3. Step 3: Cross multiply
    5,584.16x = 7,706 × 3,100
  4. Step 4: Simplify right side
    5,584.16x = 23,888,600
  5. Step 5: Solve for x
    x = 23,888,600/5,584.16
  6. Step 6: Final answer
    x = 4,277.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.