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Finding the Fourth Proportional to 5,733.86, 8,600.78 and 3,785.60

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Solution

The fourth proportional to 5,733.86, 8,600.78 and 3,785.60 is: 5,678.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,733.86 : 8,600.78 = 3,785.60 : x
  2. Step 2: Convert to fraction form
    5,733.86/8,600.78 = 3,785.60/x
  3. Step 3: Cross multiply
    5,733.86x = 8,600.78 × 3,785.60
  4. Step 4: Simplify right side
    5,733.86x = 32,559,050.84
  5. Step 5: Solve for x
    x = 32,559,050.84/5,733.86
  6. Step 6: Final answer
    x = 5,678.39

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Similar ratio
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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.