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Finding the Fourth Proportional to 5,486.90, 7,571.90 and 2,969.02

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Solution

The fourth proportional to 5,486.90, 7,571.90 and 2,969.02 is: 4,097.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,486.90 : 7,571.90 = 2,969.02 : x
  2. Step 2: Convert to fraction form
    5,486.90/7,571.90 = 2,969.02/x
  3. Step 3: Cross multiply
    5,486.90x = 7,571.90 × 2,969.02
  4. Step 4: Simplify right side
    5,486.90x = 22,481,122.54
  5. Step 5: Solve for x
    x = 22,481,122.54/5,486.90
  6. Step 6: Final answer
    x = 4,097.24

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1.5x scale

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.