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Finding the Fourth Proportional to 5,798.50, 8,698.20 and 2,335.78

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Solution

The fourth proportional to 5,798.50, 8,698.20 and 2,335.78 is: 3,503.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.50 : 8,698.20 = 2,335.78 : x
  2. Step 2: Convert to fraction form
    5,798.50/8,698.20 = 2,335.78/x
  3. Step 3: Cross multiply
    5,798.50x = 8,698.20 × 2,335.78
  4. Step 4: Simplify right side
    5,798.50x = 20,317,081.60
  5. Step 5: Solve for x
    x = 20,317,081.60/5,798.50
  6. Step 6: Final answer
    x = 3,503.85

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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.