Home / 3,420.09-5,130.13-823.03

Finding the Fourth Proportional to 3,420.09, 5,130.13 and 823.03

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Solution

The fourth proportional to 3,420.09, 5,130.13 and 823.03 is: 1,234.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.09 : 5,130.13 = 823.03 : x
  2. Step 2: Convert to fraction form
    3,420.09/5,130.13 = 823.03/x
  3. Step 3: Cross multiply
    3,420.09x = 5,130.13 × 823.03
  4. Step 4: Simplify right side
    3,420.09x = 4,222,225.24
  5. Step 5: Solve for x
    x = 4,222,225.24/3,420.09
  6. Step 6: Final answer
    x = 1,234.54

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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.