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Finding the Fourth Proportional to 5,466.50, 7,541.07 and 3,449

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Solution

The fourth proportional to 5,466.50, 7,541.07 and 3,449 is: 4,757.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,466.50 : 7,541.07 = 3,449 : x
  2. Step 2: Convert to fraction form
    5,466.50/7,541.07 = 3,449/x
  3. Step 3: Cross multiply
    5,466.50x = 7,541.07 × 3,449
  4. Step 4: Simplify right side
    5,466.50x = 26,009,150.43
  5. Step 5: Solve for x
    x = 26,009,150.43/5,466.50
  6. Step 6: Final answer
    x = 4,757.92

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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.