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Finding the Fourth Proportional to 5,584.08, 7,706 and 3,066.14

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Solution

The fourth proportional to 5,584.08, 7,706 and 3,066.14 is: 4,231.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.08 : 7,706 = 3,066.14 : x
  2. Step 2: Convert to fraction form
    5,584.08/7,706 = 3,066.14/x
  3. Step 3: Cross multiply
    5,584.08x = 7,706 × 3,066.14
  4. Step 4: Simplify right side
    5,584.08x = 23,627,674.84
  5. Step 5: Solve for x
    x = 23,627,674.84/5,584.08
  6. Step 6: Final answer
    x = 4,231.26

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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.