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Finding the Fourth Proportional to 5,210.80, 7,817.80 and 4,115.60

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Solution

The fourth proportional to 5,210.80, 7,817.80 and 4,115.60 is: 6,174.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.80 : 7,817.80 = 4,115.60 : x
  2. Step 2: Convert to fraction form
    5,210.80/7,817.80 = 4,115.60/x
  3. Step 3: Cross multiply
    5,210.80x = 7,817.80 × 4,115.60
  4. Step 4: Simplify right side
    5,210.80x = 32,174,937.68
  5. Step 5: Solve for x
    x = 32,174,937.68/5,210.80
  6. Step 6: Final answer
    x = 6,174.66

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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.