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Finding the Fourth Proportional to 5,850.24, 8,778.60 and 5,409.60

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Solution

The fourth proportional to 5,850.24, 8,778.60 and 5,409.60 is: 8,117.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,850.24 : 8,778.60 = 5,409.60 : x
  2. Step 2: Convert to fraction form
    5,850.24/8,778.60 = 5,409.60/x
  3. Step 3: Cross multiply
    5,850.24x = 8,778.60 × 5,409.60
  4. Step 4: Simplify right side
    5,850.24x = 47,488,714.56
  5. Step 5: Solve for x
    x = 47,488,714.56/5,850.24
  6. Step 6: Final answer
    x = 8,117.40

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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.