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Finding the Fourth Proportional to 5,541.66, 7,648.83 and 3,420.27

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Solution

The fourth proportional to 5,541.66, 7,648.83 and 3,420.27 is: 4,720.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,541.66 : 7,648.83 = 3,420.27 : x
  2. Step 2: Convert to fraction form
    5,541.66/7,648.83 = 3,420.27/x
  3. Step 3: Cross multiply
    5,541.66x = 7,648.83 × 3,420.27
  4. Step 4: Simplify right side
    5,541.66x = 26,161,063.78
  5. Step 5: Solve for x
    x = 26,161,063.78/5,541.66
  6. Step 6: Final answer
    x = 4,720.80

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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.