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Finding the Fourth Proportional to 5,209.60, 7,833.60 and 4,364.80

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Solution

The fourth proportional to 5,209.60, 7,833.60 and 4,364.80 is: 6,563.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.60 : 7,833.60 = 4,364.80 : x
  2. Step 2: Convert to fraction form
    5,209.60/7,833.60 = 4,364.80/x
  3. Step 3: Cross multiply
    5,209.60x = 7,833.60 × 4,364.80
  4. Step 4: Simplify right side
    5,209.60x = 34,192,097.28
  5. Step 5: Solve for x
    x = 34,192,097.28/5,209.60
  6. Step 6: Final answer
    x = 6,563.29

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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.