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Finding the Fourth Proportional to 5,348.60, 8,022.90 and 3,409.40

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Solution

The fourth proportional to 5,348.60, 8,022.90 and 3,409.40 is: 5,114.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,348.60 : 8,022.90 = 3,409.40 : x
  2. Step 2: Convert to fraction form
    5,348.60/8,022.90 = 3,409.40/x
  3. Step 3: Cross multiply
    5,348.60x = 8,022.90 × 3,409.40
  4. Step 4: Simplify right side
    5,348.60x = 27,353,275.26
  5. Step 5: Solve for x
    x = 27,353,275.26/5,348.60
  6. Step 6: Final answer
    x = 5,114.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.