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Finding the Fourth Proportional to 5,957.28, 8,220.12 and 3,405

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Solution

The fourth proportional to 5,957.28, 8,220.12 and 3,405 is: 4,698.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,957.28 : 8,220.12 = 3,405 : x
  2. Step 2: Convert to fraction form
    5,957.28/8,220.12 = 3,405/x
  3. Step 3: Cross multiply
    5,957.28x = 8,220.12 × 3,405
  4. Step 4: Simplify right side
    5,957.28x = 27,989,508.60
  5. Step 5: Solve for x
    x = 27,989,508.60/5,957.28
  6. Step 6: Final answer
    x = 4,698.37

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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.