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Finding the Fourth Proportional to 5,410.28, 7,466 and 3,020.32

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Solution

The fourth proportional to 5,410.28, 7,466 and 3,020.32 is: 4,167.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410.28 : 7,466 = 3,020.32 : x
  2. Step 2: Convert to fraction form
    5,410.28/7,466 = 3,020.32/x
  3. Step 3: Cross multiply
    5,410.28x = 7,466 × 3,020.32
  4. Step 4: Simplify right side
    5,410.28x = 22,549,709.12
  5. Step 5: Solve for x
    x = 22,549,709.12/5,410.28
  6. Step 6: Final answer
    x = 4,167.94

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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.