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Finding the Fourth Proportional to 5,486.21, 7,570.97 and 2,968.31

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Solution

The fourth proportional to 5,486.21, 7,570.97 and 2,968.31 is: 4,096.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,486.21 : 7,570.97 = 2,968.31 : x
  2. Step 2: Convert to fraction form
    5,486.21/7,570.97 = 2,968.31/x
  3. Step 3: Cross multiply
    5,486.21x = 7,570.97 × 2,968.31
  4. Step 4: Simplify right side
    5,486.21x = 22,472,933.26
  5. Step 5: Solve for x
    x = 22,472,933.26/5,486.21
  6. Step 6: Final answer
    x = 4,096.26

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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.