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Finding the Fourth Proportional to 5,466.90, 7,544.32 and 2,982.90

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Solution

The fourth proportional to 5,466.90, 7,544.32 and 2,982.90 is: 4,116.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,466.90 : 7,544.32 = 2,982.90 : x
  2. Step 2: Convert to fraction form
    5,466.90/7,544.32 = 2,982.90/x
  3. Step 3: Cross multiply
    5,466.90x = 7,544.32 × 2,982.90
  4. Step 4: Simplify right side
    5,466.90x = 22,503,952.13
  5. Step 5: Solve for x
    x = 22,503,952.13/5,466.90
  6. Step 6: Final answer
    x = 4,116.40

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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.